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Precalculus: Mathematics for Calcu...

7th Edition
James Stewart + 2 others
Publisher: Brooks Cole
ISBN: 9781305071759

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Section
BuyFindarrow_forward

Precalculus: Mathematics for Calcu...

7th Edition
James Stewart + 2 others
Publisher: Brooks Cole
ISBN: 9781305071759
Chapter 7.4, Problem 50E
Textbook Problem
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Solving Trigonometric Equations by Factoring Solve the given equation.

50. 3 tan3θ = tan θ

To determine

To solve: The equation 3tan3θ=tanθ .

Explanation of Solution

Given equation can be rewritten as follows,

3tan3θ=tanθ3tan3θtanθ=0tanθ(3tan2θ1)=0

For the given equation either tanθ=0 or 3tan2θ1=0 .

Consider 3tan2θ1=0 and solve.

3tan2θ=1tan2θ=13tanθ=±13θ=tan1(13),tan1(13)

That is, θ=π6 and π6 .

Thus, the solutions of the equation 3tan2θ1=0 on the interval [0,π) are θ=±π6

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Chapter 7 Solutions

Precalculus: Mathematics for Calculus (Standalone Book)
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Ch. 7.1 - Simplifying Trigonometric Expressions Write the...Ch. 7.1 - Simplifying Trigonometric Expressions Write the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Simplifying Trigonometric Expressions Simplify the...Ch. 7.1 - Proving an Identity Algebraically and Graphically...Ch. 7.1 - Proving an Identity Algebraically and Graphically...Ch. 7.1 - Proving Identities Verify the identity. 31....Ch. 7.1 - Proving Identities Verify the identity. 32....Ch. 7.1 - Proving Identities Verify the identity. 33....Ch. 7.1 - Proving Identities Verify the identity. 34....Ch. 7.1 - Proving Identities Verify the identity. 35....Ch. 7.1 - Proving Identities Verify the identity. 36....Ch. 7.1 - Proving Identities Verify the identity. 37. cos(x)...Ch. 7.1 - Proving Identities Verify the identity. 38. cot()...Ch. 7.1 - Proving Identities Verify the identity. 39. tan +...Ch. 7.1 - Proving Identities Verify the identity. 40. (sin x...Ch. 7.1 - Proving Identities Verify the identity. 41....Ch. 7.1 - Proving Identities Verify the identity. 42....Ch. 7.1 - Proving Identities Verify the identity. 43....Ch. 7.1 - Proving Identities Verify the identity. 44. csc x ...Ch. 7.1 - Proving Identities Verify the identity. 45. (tan x...Ch. 7.1 - Proving Identities Verify the identity. 46. tan2 x...Ch. 7.1 - Proving Identities Verify the identity. 47. (1 ...Ch. 7.1 - Proving Identities Verify the identity. 48....Ch. 7.1 - Proving Identities Verify the identity. 49. csc x...Ch. 7.1 - Proving Identities Verify the identity. 50. cot2 t...Ch. 7.1 - Proving Identities Verify the identity. 51....Ch. 7.1 - Proving Identities Verify the identity. 52. (sin x...Ch. 7.1 - Proving Identities Verify the identity. 53....Ch. 7.1 - Proving Identities Verify the identity. 54. (cot x...Ch. 7.1 - Proving Identities Verify the identity. 55. cos2 x...Ch. 7.1 - Proving Identities Verify the identity. 56. 2 cos2...Ch. 7.1 - Proving Identities Verify the identity. 57. sin4 ...Ch. 7.1 - Proving Identities Verify the identity. 58. (1 ...Ch. 7.1 - Proving Identities Verify the identity. 59....Ch. 7.1 - Proving Identities Verify the identity. 60. sec t...Ch. 7.1 - Proving Identities Verify the identity. 61....Ch. 7.1 - Proving Identities Verify the identity. 62....Ch. 7.1 - Proving Identities Verify the identity. 63....Ch. 7.1 - Proving Identities Verify the identity. 64....Ch. 7.1 - Proving Identities Verify the identity. 65....Ch. 7.1 - Proving Identities Verify the identity. 66....Ch. 7.1 - Proving Identities Verify the identity. 67. tan2 u...Ch. 7.1 - Proving Identities Verify the identity. 68. sec4 x...Ch. 7.1 - Proving Identities Verify the identity. 69....Ch. 7.1 - Proving Identities Verify the identity. 70....Ch. 7.1 - Proving Identities Verify the identity. 71....Ch. 7.1 - Proving Identities Verify the identity. 72....Ch. 7.1 - Proving Identities Verify the identity. 73....Ch. 7.1 - Proving Identities Verify the identity. 74....Ch. 7.1 - Proving Identities Verify the identity. 75....Ch. 7.1 - Proving Identities Verify the identity. 76....Ch. 7.1 - Proving Identities Verify the identity. 77....Ch. 7.1 - Proving Identities Verify the identity. 78....Ch. 7.1 - Proving Identities Verify the identity. 79....Ch. 7.1 - Proving Identities Verify the identity. 80....Ch. 7.1 - Proving Identities Verify the identity. 81....Ch. 7.1 - Proving Identities Verify the identity. 82....Ch. 7.1 - Proving Identities Verify the identity. 83....Ch. 7.1 - Proving Identities Verify the identity. 84....Ch. 7.1 - Proving Identities Verify the identity. 85....Ch. 7.1 - Proving Identities Verify the identity. 86....Ch. 7.1 - Proving Identities Verify the identity. 87....Ch. 7.1 - Proving Identities Verify the identity. 88....Ch. 7.1 - Trigonometric Substitution Make the indicated...Ch. 7.1 - Trigonometric Substitution Make the indicated...Ch. 7.1 - Trigonometric Substitution Make the indicated...Ch. 7.1 - Trigonometric Substitution Make the indicated...Ch. 7.1 - Trigonometric Substitution Make the indicated...Ch. 7.1 - Trigonometric Substitution Make the indicated...Ch. 7.1 - Determining Identities Graphically Graph f and g...Ch. 7.1 - Determining Identities Graphically Graph f and g...Ch. 7.1 - Determining Identities Graphically Graph f and g...Ch. 7.1 - Determining Identities Graphically Graph f and g...Ch. 7.1 - Proving More Identities Verify the identity. 99....Ch. 7.1 - Proving More Identities Verify the identity. 100....Ch. 7.1 - Proving More Identities Verify the identity. 101....Ch. 7.1 - Proving More Identities Verify the identity. 102....Ch. 7.1 - Proving More Identities Verify the identity. 103....Ch. 7.1 - Proving More Identities Verify the identity. 104....Ch. 7.1 - Proving Identities Involving Other Functions These...Ch. 7.1 - Proving Identities Involving Other Functions These...Ch. 7.1 - Proving Identities Involving Other Functions These...Ch. 7.1 - Proving Identities Involving Other Functions These...Ch. 7.1 - Is the Equation an Identity? Determine whether the...Ch. 7.1 - Is the Equation an Identity? Determine whether the...Ch. 7.1 - Is the Equation an Identity? Determine whether the...Ch. 7.1 - Is the Equation an Identity? Determine whether the...Ch. 7.1 - An Identity Involving Three Variables Suppose x =...Ch. 7.1 - DISCUSS: Equations That Are Identities You have...Ch. 7.1 - DISCUSS: Equations That Are Not Identities How can...Ch. 7.1 - DISCUSS: Graphs and Identities Suppose you graph...Ch. 7.1 - DISCOVER: Making Up Your Own Identity If you start...Ch. 7.1 - DISCUSS: Cofunction Identities In the right...Ch. 7.2 - If we know the values of the sine and cosine of x...Ch. 7.2 - If we know the values of the sine and cosine of x...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Values of Trigonometric Functions Use an Addition...Ch. 7.2 - Cofunction Identities Prove the cofunction...Ch. 7.2 - Cofunction Identities Prove the cofunction...Ch. 7.2 - Cofunction Identities Prove the cofunction...Ch. 7.2 - Cofunction Identities Prove the cofunction...Ch. 7.2 - Proving Identities Prove the identity. 25....Ch. 7.2 - Proving Identities Prove the identity. 26....Ch. 7.2 - Proving Identities Prove the identity. 27. sin(x ...Ch. 7.2 - Proving Identities Prove the identity. 28. cos(x ...Ch. 7.2 - Proving Identities Prove the identity. 29. tan(x ...Ch. 7.2 - Proving Identities Prove the identity. 30....Ch. 7.2 - Proving Identities Prove the identity. 31....Ch. 7.2 - Proving Identities Prove the identity. 32....Ch. 7.2 - Proving Identities Prove the identity. 33....Ch. 7.2 - Proving Identities Prove the identity. 34....Ch. 7.2 - Proving Identities Prove the identity. 35. sin(x +...Ch. 7.2 - Proving Identities Prove the identity. 36. cos(x +...Ch. 7.2 - Proving Identities Prove the identity. 37....Ch. 7.2 - Proving Identities Prove the identity. 38....Ch. 7.2 - Proving Identities Prove the identity. 39....Ch. 7.2 - Proving Identities Prove the identity. 40....Ch. 7.2 - Proving Identities Prove the identity. 41....Ch. 7.2 - Proving Identities Prove the identity. 42....Ch. 7.2 - Proving Identities Prove the identity. 43. cos(x +...Ch. 7.2 - Proving Identities Prove the identity. 44. cos(x +...Ch. 7.2 - Proving Identities Prove the identity. 45....Ch. 7.2 - Proving Identities Prove the identity. 46....Ch. 7.2 - Expressions Involving Inverse Trigonometric...Ch. 7.2 - Expressions Involving Inverse Trigonometric...Ch. 7.2 - Expressions Involving Inverse Trigonometric...Ch. 7.2 - Expressions Involving Inverse Trigonometric...Ch. 7.2 - Expressions Involving Inverse Trigonometric...Ch. 7.2 - Expressions Involving Inverse Trigonometric...Ch. 7.2 - Expressions Involving Inverse Trigonometric...Ch. 7.2 - Expressions Involving Inverse Trigonometric...Ch. 7.2 - Evaluating Expressions Involving Trigonometric...Ch. 7.2 - Evaluating Expressions Involving Trigonometric...Ch. 7.2 - Evaluating Expressions Involving Trigonometric...Ch. 7.2 - Evaluating Expressions Involving Trigonometric...Ch. 7.2 - Expressions in Terms of Sine Write the expression...Ch. 7.2 - Expressions in Terms of Sine Write the expression...Ch. 7.2 - Expressions in Terms of Sine Write the expression...Ch. 7.2 - Expressions in Terms of Sine Write the expression...Ch. 7.2 - Graphing a Trigonometric Function (a) Express the...Ch. 7.2 - Graphing a Trigonometric Function (a) Express the...Ch. 7.2 - Difference Quotient Let f(x) = cos x and g(x) =...Ch. 7.2 - Difference Quotient Let f(x) = cos x and g(x) =...Ch. 7.2 - Discovering an Identity Graphically In these...Ch. 7.2 - Discovering an Identity Graphically In these...Ch. 7.2 - Difference of Two Angles Show that if = /2,...Ch. 7.2 - Sum of Two Angles Refer to the figure. 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[Hint: First use an...Ch. 7.2 - Adding an Echo A digital delay device echoes an...Ch. 7.2 - Interference Two identical tuning forks are...Ch. 7.2 - PROVE: Addition Formula for Sine In the text we...Ch. 7.2 - PROVE: Addition Formula for Tangent Use the...Ch. 7.3 - If we know the values of sin x and cos x, we can...Ch. 7.3 - If we know the value of cos x and the quadrant in...Ch. 7.3 - Double Angle Formulas Find sin 2x, cos 2x, and tan...Ch. 7.3 - Double Angle Formulas Find sin 2x, cos 2x, and tan...Ch. 7.3 - Double Angle Formulas Find sin 2x, cos 2x, and tan...Ch. 7.3 - Double Angle Formulas Find sin 2x, cos 2x, and tan...Ch. 7.3 - Double Angle Formulas Find sin 2x, cos 2x, and tan...Ch. 7.3 - Double Angle Formulas Find sin 2x, cos 2x, and tan...Ch. 7.3 - Double Angle Formulas Find sin 2x, cos 2x, and tan...Ch. 7.3 - Double Angle Formulas Find sin 2x, cos 2x, and tan...Ch. 7.3 - Lowering Powers in a Trigonometric Expression Use...Ch. 7.3 - Lowering Powers in a Trigonometric Expression Use...Ch. 7.3 - Lowering Powers in a Trigonometric Expression Use...Ch. 7.3 - Lowering Powers in a Trigonometric Expression Use...Ch. 7.3 - Lowering Powers in a Trigonometric Expression Use...Ch. 7.3 - Lowering Powers in a Trigonometric Expression Use...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Half Angle Formulas Use an appropriate Half-Angle...Ch. 7.3 - Double- and Half-Angle Formulas Simplify the...Ch. 7.3 - Double- and Half-Angle Formulas Simplify the...Ch. 7.3 - Double- and Half-Angle Formulas Simplify the...Ch. 7.3 - Double- and Half-Angle Formulas Simplify the...Ch. 7.3 - Double- and Half-Angle Formulas Simplify the...Ch. 7.3 - Double- and Half-Angle Formulas Simplify the...Ch. 7.3 - Proving a Double-Angle Formula Use the Addition...Ch. 7.3 - Proving a Double-Angle Formula Use the Addition...Ch. 7.3 - Using a Half-Angle Formula Find sinx2,cosx2, and...Ch. 7.3 - Using a Half-Angle Formula Find sinx2,cosx2, and...Ch. 7.3 - Using a Half-Angle Formula Find sinx2,cosx2, and...Ch. 7.3 - Using a Half-Angle Formula Find sinx2,cosx2, and...Ch. 7.3 - Using a Half-Angle Formula Find sinx2,cosx2, and...Ch. 7.3 - Using a Half-Angle Formula Find sinx2,cosx2, and...Ch. 7.3 - Expressions Involving Inverse Trigonometric...Ch. 7.3 - Expressions Involving Inverse Trigonometric...Ch. 7.3 - Expressions Involving Inverse Trigonometric...Ch. 7.3 - Expressions Involving Inverse Trigonometric...Ch. 7.3 - Expressions Involving Inverse Trigonometric...Ch. 7.3 - Expressions Involving Inverse Trigonometric...Ch. 7.3 - Expressions Involving Inverse Trigonometric...Ch. 7.3 - Expressions Involving Inverse Trigonometric...Ch. 7.3 - Evaluating an Expression Involving Trigonometric...Ch. 7.3 - Evaluating an Expression Involving Trigonometric...Ch. 7.3 - Evaluating an Expression Involving Trigonometric...Ch. 7.3 - Evaluating an Expression Involving Trigonometric...Ch. 7.3 - Product-to-Sum Formulas Write the product as a...Ch. 7.3 - Product-to-Sum Formulas Write the product as a...Ch. 7.3 - Product-to-Sum Formulas Write the product as a...Ch. 7.3 - Product-to-Sum Formulas Write the product as a...Ch. 7.3 - Product-to-Sum Formulas Write the product as a...Ch. 7.3 - Product-to-Sum Formulas Write the product as a...Ch. 7.3 - Sum-to-Product Formulas Write the sum as a...Ch. 7.3 - Sum-to-Product Formulas Write the sum as a...Ch. 7.3 - Sum-to-Product Formulas Write the sum as a...Ch. 7.3 - Sum-to-Product Formulas Write the sum as a...Ch. 7.3 - Sum-to-Product Formulas Write the sum as a...Ch. 7.3 - Sum-to-Product Formulas Write the sum as a...Ch. 7.3 - Value of a Product or Sum Find the value of the...Ch. 7.3 - Value of a Product or Sum Find the value of the...Ch. 7.3 - Value of a Product or Sum Find the value of the...Ch. 7.3 - Value of a Product or Sum Find the value of the...Ch. 7.3 - Value of a Product or Sum Find the value of the...Ch. 7.3 - Value of a Product or Sum Find the value of the...Ch. 7.3 - Proving Identities Prove the identity. 73. cos2 5x...Ch. 7.3 - Proving Identities Prove the identity. 74. sin 8x...Ch. 7.3 - Proving Identities Prove the identity. 75. (sin x...Ch. 7.3 - Proving Identities Prove the identity. 76. cos4 x ...Ch. 7.3 - Proving Identities Prove the identity. 77....Ch. 7.3 - Proving Identities Prove the identity. 78....Ch. 7.3 - Proving Identities Prove the identity. 79....Ch. 7.3 - Proving Identities Prove the identity. 80....Ch. 7.3 - Proving Identities Prove the identity....Ch. 7.3 - Proving Identities Prove the identity. 82....Ch. 7.3 - Proving Identities Prove the identity. 83....Ch. 7.3 - Proving Identities Prove the identity. 84....Ch. 7.3 - Proving Identities Prove the identity. 85....Ch. 7.3 - Proving Identities Prove the identity. 86. 4(sin6...Ch. 7.3 - Proving Identities Prove the identity. 87....Ch. 7.3 - Proving Identities Prove the identity. 88....Ch. 7.3 - Proving Identities Prove the identity. 89....Ch. 7.3 - Proving Identities Prove the identity. 90....Ch. 7.3 - Proving Identities Prove the identity. 91....Ch. 7.3 - Proving Identities Prove the identity. 92....Ch. 7.3 - Proving Identities Prove the identity. 93....Ch. 7.3 - Proving Identities Prove the identity. 94....Ch. 7.3 - Proving Identities Prove the identity. 95....Ch. 7.3 - Proving Identities Prove the identity. 96. (1 cos...Ch. 7.3 - Sum-to-Product Formulas Use a Sum-to-Product...Ch. 7.3 - Sum-to-Product Formulas Use a Sum-to-Product...Ch. 7.3 - Sum-to-Product Formulas Use a Sum-to-Product...Ch. 7.3 - Sum-to-Product Formulas Use a Sum-to-Product...Ch. 7.3 - Proving an Identity Prove the identity...Ch. 7.3 - Proving an Identity Use the identity...Ch. 7.3 - Identities Involving Inverse Trigonometric...Ch. 7.3 - Identities Involving Inverse Trigonometric...Ch. 7.3 - Discovering an Identity Graphically In these...Ch. 7.3 - Discovering an Identity Graphically In these...Ch. 7.3 - Discovering an Identity Graphically In these...Ch. 7.3 - A Cubic Equation Let 3x = /3, and let y = cos x....Ch. 7.3 - Tchebycheff Polynomials (a) Show that there is a...Ch. 7.3 - Length of a Bisector In triangle ABC (see the...Ch. 7.3 - Angles of a Triangle If A, B, and C are the angles...Ch. 7.3 - Largest Area A rectangle is to be inscribed in a...Ch. 7.3 - Sawing a Wooden Beam A rectangular beam is to be...Ch. 7.3 - Length of a Fold The lower right-hand comer of a...Ch. 7.3 - Sound Beats When two pure notes that are close in...Ch. 7.3 - Touch-Tone Telephones When a key is pressed on a...Ch. 7.3 - PROVE: Geometric Proof of a Double-Angle Formula...Ch. 7.4 - Because the trigonometric functions are periodic,...Ch. 7.4 - The basic equation sin x = 2 has _____...Ch. 7.4 - We can find some of the solutions of sin x = 0.3...Ch. 7.4 - We can find the solutions of sin x = 0.3...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Basic Trigonometric Equations Solve the...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations Find all solutions...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Solving Trigonometric Equations by Factoring Solve...Ch. 7.4 - Refraction of Light It has been observed since...Ch. 7.4 - Total Internal Reflection When light passes from a...Ch. 7.4 - Phases of the Moon As the moon revolves around the...Ch. 7.4 - DISCUSS WRITE: Equations and Identities Which of...Ch. 7.5 - We can use identities to help us solve...Ch. 7.5 - We can use identities to help us solve...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations by Using...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Involving a...Ch. 7.5 - Solving Trigonometric Equations Solve the...Ch. 7.5 - Solving Trigonometric Equations Solve the...Ch. 7.5 - Solving Trigonometric Equations Solve the...Ch. 7.5 - Solving Trigonometric Equations Solve the...Ch. 7.5 - Finding Intersection Points Graphically (a) Graph...Ch. 7.5 - Finding Intersection Points Graphically (a) Graph...Ch. 7.5 - Finding Intersection Points Graphically (a) Graph...Ch. 7.5 - Finding Intersection Points Graphically (a) Graph...Ch. 7.5 - Using Addition or Subtraction Formulas Use an...Ch. 7.5 - Using Addition or Subtraction Formulas Use an...Ch. 7.5 - Using Addition or Subtraction Formulas Use an...Ch. 7.5 - Using Addition or Subtraction Formulas Use an...Ch. 7.5 - Using Double- or Half-Angle Formulas Use a Double-...Ch. 7.5 - Using Double- or Half-Angle Formulas Use a Double-...Ch. 7.5 - Using Double- or Half-Angle Formulas Use a Double-...Ch. 7.5 - Using Double- or Half-Angle Formulas Use a Double-...Ch. 7.5 - Using Double- or Half-Angle Formulas Use a Double-...Ch. 7.5 - Using Double- or Half-Angle Formulas Use a Double-...Ch. 7.5 - Using Double- or Half-Angle Formulas Use a Double-...Ch. 7.5 - Using Double- or Half-Angle Formulas Use a Double-...Ch. 7.5 - Using Double- or Half-Angle Formulas Use a Double-...Ch. 7.5 - Using Double- or Half-Angle Formulas Use a Double-...Ch. 7.5 - Using Sum-to-Product Formulas Solve the equation...Ch. 7.5 - Using Sum-to-Product Formulas Solve the equation...Ch. 7.5 - Using Sum-to-Product Formulas Solve the equation...Ch. 7.5 - Using Sum-to-Product Formulas Solve the equation...Ch. 7.5 - Solving Trigonometric Equations Graphically Use a...Ch. 7.5 - Solving Trigonometric Equations Graphically Use a...Ch. 7.5 - Solving Trigonometric Equations Graphically Use a...Ch. 7.5 - Solving Trigonometric Equations Graphically Use a...Ch. 7.5 - Solving Trigonometric Equations Graphically Use a...Ch. 7.5 - Solving Trigonometric Equations Graphically Use a...Ch. 7.5 - Equations Involving Inverse Trigonometric...Ch. 7.5 - Equations Involving Inverse Trigonometric...Ch. 7.5 - Range of a Projectile If a projectile is fired...Ch. 7.5 - Damped Vibrations The displacement of a spring...Ch. 7.5 - Hours of Daylight In Philadelphia the number of...Ch. 7.5 - Belts and Pulleys A thin belt of length L...Ch. 7.5 - DISCUSS: A Special Trigonometric Equation What...Ch. 7 - What is an identity? What is a trigonometric...Ch. 7 - (a) State the Pythagorean identities. (b) Use a...Ch. 7 - (a) State the reciprocal identities for cosecant,...Ch. 7 - (a) How do you prove an identity? (b) Prove the...Ch. 7 - (a) State the Addition and Subtraction Formulas...Ch. 7 - (a) State the formula for A sin x + B cos x. (b)...Ch. 7 - (a) State the Double-Angle Formula for Sine and...Ch. 7 - (a) State the formulas for lowering powers of sine...Ch. 7 - (a) State the Half-Angle Formulas for Sine and...Ch. 7 - (a) State the Product-to-Sum Formula for the...Ch. 7 - (a) State the Sum-to-Product Formula for the sum...Ch. 7 - What is a trigonometric equation? How do we solve...Ch. 7 - Proving Identities Verify the identity. 1. sin ...Ch. 7 - Proving Identities Verify the identity. 2. (sec ...Ch. 7 - Proving Identities Verify the identity. 3. cos2x...Ch. 7 - Proving Identities Verify the identity. 4....Ch. 7 - Proving Identities Verify the identity. 5....Ch. 7 - Proving Identities Verify the identity. 6....Ch. 7 - Proving Identities Verify the identity. 7....Ch. 7 - Proving Identities Verify the identity. 8. (1 tan...Ch. 7 - Proving Identities Verify the identity. 9. sin2x...Ch. 7 - Proving Identities Verify the identity. 10. (tan x...Ch. 7 - Proving Identities Verify the identity. 11....Ch. 7 - Proving Identities Verify the identity. 12....Ch. 7 - Proving Identities Verify the identity. 13....Ch. 7 - Proving Identities Verify the identity. 14....Ch. 7 - Proving Identities Verify the identity. 15....Ch. 7 - Proving Identities Verify the identity. 16....Ch. 7 - Proving Identities Verify the identity. 17....Ch. 7 - Proving Identities Verify the identity. 18. (cos x...Ch. 7 - Proving Identities Verify the identity. 19....Ch. 7 - Proving Identities Verify the identity. 20....Ch. 7 - Proving Identities Verify the identity. 21....Ch. 7 - Proving Identities Verify the identity. 22. sin(x...Ch. 7 - Checking Identities Graphically (a) Graph f and g....Ch. 7 - Checking Identities Graphically (a) Graph f and g....Ch. 7 - Checking Identities Graphically (a) Graph f and g....Ch. 7 - Checking Identities Graphically (a) Graph f and g....Ch. 7 - Determining Identities Graphically (a) Graph the...Ch. 7 - Determining Identities Graphically (a) Graph the...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Solving Trigonometric Equations Solve the equation...Ch. 7 - Range of a Projectile If a projectile is fired...Ch. 7 - Displacement of a Shock Absorber The displacement...Ch. 7 - Value of Expressions Find the exact value of the...Ch. 7 - Value of Expressions Find the exact value of the...Ch. 7 - Value of Expressions Find the exact value of the...Ch. 7 - Value of Expressions Find the exact value of the...Ch. 7 - Value of Expressions Find the exact value of the...Ch. 7 - Value of Expressions Find the exact value of the...Ch. 7 - Value of Expressions Find the exact value of the...Ch. 7 - Value of Expressions Find the exact value of the...Ch. 7 - Value of Expressions Find the exact value of the...Ch. 7 - Value of Expressions Find the exact value of the...Ch. 7 - Evaluating Expressions Involving Trigonometric...Ch. 7 - Evaluating Expressions Involving Trigonometric...Ch. 7 - Evaluating Expressions Involving Trigonometric...Ch. 7 - Evaluating Expressions Involving Trigonometric...Ch. 7 - Evaluating Expressions Involving Trigonometric...Ch. 7 - Evaluating Expressions Involving Trigonometric...Ch. 7 - Evaluating Expressions Involving Inverse...Ch. 7 - Evaluating Expressions Involving Inverse...Ch. 7 - Expressions Involving Inverse Trigonometric...Ch. 7 - Expressions Involving Inverse Trigonometric...Ch. 7 - Expressions Involving Inverse Trigonometric...Ch. 7 - Viewing Angle of a Tower A 380-ft-tall building...Ch. 7 - Verify each identity. 1. tan sin + cos = secCh. 7 - Verify each identity. 2. tanx1cosx=cscx(1+secx)Ch. 7 - Verify each identity. 3. 2tanx1+tan2x=sin2xCh. 7 - Verify each identity. 4. sinxtan(x2)=1cosxCh. 7 - Verify each identity. 5. 2 sin2(3x) = 1 cos(6x)Ch. 7 - Verify each identity. 6. cos 4x = 1 8 sin2x + 8...Ch. 7 - Verify each identity. 7. (sin(x2)+cos(x2))2=1+sinxCh. 7 - Verify each identity. 8. Let x = 2 sin , /2 /2....Ch. 7 - Find the exact value of each expression. (a) sin 8...Ch. 7 - For the angles and in the figures, find cos( +...Ch. 7 - Write sin 3x cos 5x as a sum of trigonometric...Ch. 7 - Write sin 2x sin 5x as a product of trigonometric...Ch. 7 - If sin=45 and is in Quadrant III, find tan(/2).Ch. 7 - Solve each trigonometric equation in the interval...Ch. 7 - Solve each trigonometric equation in the interval...Ch. 7 - Solve each trigonometric equation in the interval...Ch. 7 - Solve each trigonometric equation in the interval...Ch. 7 - Solve each trigonometric equation in the interval...Ch. 7 - Solve each trigonometric equation in the interval...Ch. 7 - Solve each trigonometric equation in the interval...Ch. 7 - Find the exact value of cos(2tan1940).Ch. 7 - Rewrite the expression as an algebraic function of...Ch. 7 - Wave on a Canal A wave on the surface of a long...Ch. 7 - Wave in a Rope Traveling waves are generated at...Ch. 7 - Traveling Wave A traveling wave is graphed at the...Ch. 7 - Traveling Wave A traveling wave has period 2/3,...Ch. 7 - Standing Wave A standing wave with amplitude 0.6...Ch. 7 - Standing Wave A standing wave has maximum...Ch. 7 - Vibrating String When a violin string vibrates,...Ch. 7 - Waves in a Tube Standing waves in a violin string...

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