Find the exact value of sec 30°. ..... sec 30° =| (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) %3D

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. 1- cos(40°) (a) 2…

A: The double angle formula states that sinθ=±1-cos2θ2..

Q: The problem refers to right triangle ABC with C = 90°. Use a calculator to find sin A, cos A, sin B,…

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Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully…

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Q: Complete the following table. Use the 30°-60°-90° and 45°-45°-90° triangles. Do not use a…

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Q: Solve sin(?)+7sin(?)cos(2?)=0 for ?∈(0,?2). Give your answer in radians correct to 3 decimal places.

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Q: Find the value of x. Round your answer to the nearest tenth 7 sin 33° =

A: We can find the value of x as below

Q: Find the tangents of the acute angles in the right triangle. Write each answer as a fraction. 3 V34…

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Q: 3 Find the exact value, in radians, of the expression tan 3.

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Q: Use the information given in the diagram to find A to the nearest degree. A = 3.0 4.0 A 4 30

A: Given a triangle with the following information To find the angle A to the nearest degree : The…

Q: Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form. D F 28 53 45

A: We Use the Given Triangle Find the values of sin D, sin E, cos D & cos E.

Q: Use the given information and a calculator to find ? to the nearest tenth of a degree if 0° ≤ ? <…

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Q: A 4 C 5 3 Find sin(ZABC +60°). B

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Q: Use the half-angle formula to simplify the given expression. 1 + cos 12x 2

A: The given expression is:1+cos12x2We need to simplify the above expression using half-angle formula.

Q: Simplify the expression sin 29.5° cos 29.5°. 8

A: Given18sin(29.5°)cos(29.5°)we know that double angle identitiessin(2θ)=2sinθ.cosθ

Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully…

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Q: Simplify: cot? B • (1 – cos°B) =

A: Given term is: cot2B.1-cos2B

Q: Use the information given in the diagram to find A to the nearest degree. A = 3.0 4.0 A 30

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Q: Use an identity to find the value of the expression. Do not use a calculator. sec? 50° - tan? 50° O…

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Q: Complete the following table. Use the 30° - 60°- 90° and 45°– 45° – 90° triangles. Do not use a…

A: Complete the following table

Q: 1 - cos(40) 2

A: We have to simplify the expression  1 - cos4θ2.

Q: Use the Law of Sines to calculate the value of x. Round answer to the nearest degree. 15 10 13 529

A: We needed to use the sine rule and find the angle x.

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula 1- cos(60°) (a) 2 1…

A: We need that half angle formula on the board.

Q: 8 sin(x) = x in Quadrant I 17

A: x =sin -1 (8/17) and convert degree to radian.

Q: Find all the solutions in degrees of the following equations tan x – tan? x = 0

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Q: Use the information given in the diagram to find A to the nearest degree. A = 4.0 6.0 30° A

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Q: Establish the identity. (a tan 0+b sec 0) - (a sec 0+b tan 0)? = - a? +b2 %3D Square each term on…

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Q: Which value of 0 is NOT a solution to tan 0 = tan 0? O 135° 180° 45° 0°

A: Given:           tan2θ=tanθ

Q: Use the given information to find (a) sin (s + t), (b) tan (s + t), and (c) the quadrant of s+t. 3…

A: Given that

Q: Perform the indicated operation in trigonometric form. Write the solution in standard form. Round…

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Q: Complete the following table. Use the 30°-6°-90° and 45" - 45 -90 triangles. Do not use a…

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Q: Use the given information and a calculator to find ? to the nearest tenth of a degree if 0° ≤ ? <…

A: Let us take ? = x. So, we need to solve cosx=0.2265.…

Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully…

A: Given query is to find value of Indicated trigonometric function.

Q: Find all degree solutions to the equation. Sin (A + 50 degrees) = √3 / 2

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Q: Evaluate the expression under the given conditions. sin(2?); sin(?) = 1/9, ? in Quadrant II

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Q: Complete the following table. Use the 30°-60° – 90° and 45° - 45° - 90° triangles. Do not use a…

A: GIVEN: θ = 240° TO FIND: tan (240), cot (240)

Q: Use a calculator to find ? to the nearest tenth of a degree, if 0° < ? < 360° and cos( ?)=-0.7620…

A: Given: cos( x )=-0.7620 0° &lt; x &lt; 360°

Q: Use the Law of Sines to solve (if possible) for c. Round your answers to two decimal places. A =…

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Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a)    cso^2( θ…

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Q: Find one of the solutions : tan a = 94.09_

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Q: Use the given triangle to evaluate the expression. If necessary, express the value without a square…

A: Given:               cosπ4-sinπ4        we know that π4=45°                 =cos45°-sin45°…

Q: In the answer box below, type an exact answer only (i.e. no decimals). You do not need to fully…

A: First we find out cos(alpha) =√(1-sin2(alpha)) then find out tan(alpha)=sin(alpha)/cos(alpha) Then…

Q: Use an addition or subtraction formula to find the exact value of A and B in the equation tan…

A: Solution:

Q: Give the exact value of each of the following:       sec 5pi /6

A: Given: sec 5π6 To find: Exact value of the given expression.

Q: Evaluate the following expressions. The answer must be given as a fraction, no decimals. If the…

A: Given: tanθ=-97

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

A: `

Q: Which equation can be used to find the length of AC? A 10 in. 40° C B a (10)sin(40°) = AC O…

A: We will find the length of AC as following.

Q: 24. If cos x = and 180° < x < 270°, what is the value of x to the nearest degree? а. 132° b. 202° С.…

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Q: Evaluate the expression without using a calculator, and write your answer in radians. arccos ( -…

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Q: If cos A = 0.9903, then the measure of ZA, to the nearest degree, is a) 82° b) 8° c) 1° O d) 45°

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Q: Find the tangents of the acute angles in the right triangle. Write each answer as a fraction. 53 28…

A: For a right angled triangle  tanx=sinxcosx        =opposite side hypotenuse·hypotenuseadjacent side…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.