Simplify the following number to rectangular form: cos(i lin (5)) + sin(i lin(i))

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 320…

A: Given diameter of d = 320 millimetres  Each brake pad, which presses against the drum, is s = 309…

Q: Write the following in terms of sin(θ) and cos(θ); then simplify if possible. sin(θ) + cos(θ)tan(θ)…

A: We will use tan(θ) = sin(θ)/cos(θ)

Q: Find the angle 0, in radians that make the equation true; tan0=0

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Q: Given tanθ = - 2, 270° < θ < 360°, find the exact value of the remaining five trigonometric…

A: Given tanθ = - 2, 270° < θ < 360°, We know that  tanθ=PerpendicularBase Since the tanθ is in…

Q: Use an Addition or Subtraction Formula to simplify the equation. cos(?) cos(2?) + sin(?) sin(2?) =…

A: cos(x)cos(2x)+sin(x)sin(2x)=22[Formula cos(A)cos(B)+sin(A)sin(B)=cos(A-B)…

Q: Use the formula for the cosine of the difference of two angles to verify the identity.

A: To prove: cosx-5π4=-22cosx+sinx

Q: Convert each angle in radians to degrees. Express your answer in decimal form, rounded to two…

A: Given radian: 3.15

Q: Write the following in terms of sin ? and cos ?; then simplify if possible. (Leave your answer in…

A: Consider the given trigonometric function. csc θ cot θ The objective of this part is to write the…

Q: Use the trigonometric identity 4 arctan( 1/ 5)− arctan (1/ 239)= π/ 4 to approximate the number π.

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Q: Determine the value of each angle to the nearest degree   sin A = 0.1265

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Q: Find the principal values of the following. Express sin5x in terms of multiple angles.

A: Let me discuss this problem::>

Q: Use the appropriate compound angle formula to determine the exact value of each expression. cos (T-)…

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Q: Simplify the expression by using a double-angle formula. cos 30 – sin 30

A: Here we have to use the double angle formula to solve the given problem. cos(2θ) = cos2(θ)  - sin2…

Q: Simplify. (a) (b) cos sin 8

A: we have to simplify: (a) 1a1b=1a×b=bathis is the required answer.

Q: simplify the following function and choose the right answer/answers sin20 y cos20 sino cos0

A: The given function is y=sin2θsinθ-cos2θcosθ.

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: Match each inverse trigonemetric expression to its angle value. sin- 45 V3 COS- 60° tan- 90° sin¬(1)…

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Q: Sin 3 h=2

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Q: Find the exact value of the expression  sin 165

A: In this question we will use basic of calculus i.e use of trigonometric formulas.  We will use the…

Q: Simplify, using the double-angle formulas: 1- 2 sin2(15°)

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Q: Simplify the trigonometric expression: sin B+ cos BcotB 4.

A: Given that: sinB+cosB.cotB

Q: Use the half-angle formulas to simplify the expression. 1- cos(x – 3) 2

A: We know that cos(2t)=cos2t-sin2t=2cos2t-1=1-2sin2t⇒2sin2t=1-cos(2t)⇒sin2t=1-cos2t2

Q: Write the following in terms of sin ? and cos ?; then simplify if possible. (Leave your answer in…

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Q: Simplify cos[arctan( -). -12/13 5/13 12/13

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Q: Write the following in terms of sin ? and cos ?; then simplify if possible. I need to leave my…

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Q: Simplify by referring to the appropriate triangle or trigonometric identity. cot(sin- 1 x)

A: Here given expression as cotsin-1x

Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 300…

A: Diameter = 300 mm  So radius=r= diameter/2= 300/2= 150 mm Given that arc length = s = 296 mm  In…

Q: Begin by rewriting the given expression in terms of sine only. Then, simplify. cos?(x)

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Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

A: A light truck with manual transmission has a circular brake drum with a diameter of d = 310…

Q: photo attached

A: Given:

Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify. Assume…

A: For first part, Range of sine function is [-1,1] For second part, substitute x=5costheta and…

Q: If x = 9 tan 0, write the expression sin 20 in terms of just x. (Simplify the double angle using a…

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Q: Simplify the expression tan( – x) by using an appropriate compound angle formula.

A: We have to simplify the expression tanπ-x by using an appropriate compound angle formula.

Q: Find the exact value of the expression sin 165°

A: *to find:- exact value of sin165°.

Q: Use a formula for negatives to find the exact value.

A: Given, a) cot-3π4 we know that trigonometric identity, cotθ=1tanθ tanθ=sinθcosθ Now the above-Given…

Q: In the following right triangle, find sin A, cos A, tan A, and sin B, cos B, tan B.

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Q: Find the exact value of each exp V3 sin 2 Si

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Q: Write the following values. a. sin b. cos 2 图 c. tan =

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Q: Express as a cofunction of a complementary angle sin 46 degrees 37 inches

A: sin 46 degrees 37 inches To Express as a cofunction of a complementary angle

Q: Create an equivalent expression for cos(x – ), using an appropriate compound angle formula

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Q: A light truck with manual transmission has a circular brake drum with a diameter of d = 300…

A: Given that the diameter= d= 300 millimeters So the radius=r= 3002=150 millimeters Given that the arc…

Q: Make a table of ordered pairs using values of θ that are multiples of 45°. r = sin(2θ)

A: Given that r = sin(2θ) θ (r,θ) 0 (0,0) 45 (1,45) 90 (0,90) 135 (-1,135) 180 (0,180)…

Q: Determine the equivalent when (3∠2 radians) is raised to 0.5+0.5i. Express your answer in a…

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Q: sin 2.

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Q: Evaluate without a calculator:

A: The unidentified measure of an angle of a right triangle can be evaluated with the help of inverse…

Q: Write the following in terms of sin θ and cos θ; then simplify if possible: csc θ cot θ

A: Given : csc (θ) cot(θ) We know the trigonometric ratios csc(θ)=1sin(θ)cot(θ)=cos(θ)sin(θ)

Q: Use a right triangle to simplify the given expression. Assume x 7 0. cos 1sec-1x 2

A: Inverse trigonometric function:     cos(sec-1x2)We know cos(cos-11x2)

Q: simplify by referring to the appropriate triangle or trigonometric identity. tan(cos−1 x)

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Q: Make the indicated trigonometric substitution in the given algebraic expression and simplify x = 2…

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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.