Find the indicated power. Write the answer in standard form. [2(cos 30 + i sin 30°)]

Q: By using Trigonometric identities, find the exact value of the expression. cos (120° – 45°). A 4 B)…

A: cos120°-45°

Q: Given that sine 2 a) csc 20=-1 where OE],[. Then the value of csc 20 is: b) csc20=1 c) csc20= 2 a b.

A:

Q: Given: sin a= in Quadrant I and cos B= - 13 in Quadrant II; evaluate the following expression sin(a…

A: We can find the required correct answer as below.

Q: Use the given information to determine the remaining five trigonometric values. Rationalize any…

A: Given, cosec(A)=87, 90°<A<180°

Q: Use the given information to find the exact value of a. sin2θ​, b. cos2θ​, and c. tan2θ. cos θ…

A:

Q: Verify the identity by converting the left side into sines and cosines.

A: Trigonometric identities can be verified by simplifying the left-hand side of the inequality so as…

Q: Given: sin a 13 Find: cos a and tan a

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Q: 15 and A is in quadrant 2. 17 Find cos(2A), if sin(A)

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Q: Prove that the equation is an identity. 6 sin? t – 6 cos2t = 6 - 6 cot² t 1 + cot? t

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Q: 4. Determine the value of theta to the nearest degree: * csc 0= 1.33

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Q: Write the trigonometric expression in terms of a single trigonometric function. cos? 6a – sin2 6a

A: To solve this question one should know how to write cos(x) in terms of sin(x) The required formula…

Q: Given sketch a diagram for a and find the exact values for the following: sin 0 = 20/29 ,90°< 0 <…

A:

Q: Use the figures to find the exact value of the trigonometric function cos(θ/2).

A: Use the figures to find the exact value of the trigonometric function cos(θ/2). First write cos(θ)…

Q: Use the given information to determine the remaining five trigonometric values. Rationalize any…

A:

Q: In the figure below, AXYZ AACB. Find cos B, sin B, and tan B. Round your answers to the nearest…

A: Given Data: Similarity: ∆XYZ~∆ACB From the given figure, XY=28 YZ=29.6 XZ=9.6 The ratio of sides of…

Q: tan a = 12 a lies in quadrant III, and cos B = , ß lies in quadrant II Find sin (a + B).

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Q: cos 90 degrees + 3 sin 270 degrees

A: From unit circle we find cos 90 and sin 270 cos 90 degree= 0 and sin 270 degree = -1

Q: Simplify the following trigonometric expression by following the indicated direction. cos 0 1+ csc 0…

A:

Q: Use the given information to find the exact value of the expression. 3 a lies in quadrant II, and…

A: The given values are,tanα=34,α lies in quadrant III and cosβ=-817,β lies in quadrant II.

Q: I am confused on how they got the final answer after multiplying the fractions. Thank you.

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Q: Use the figure below and the given values to find the specified side length and trigonometric…

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Q: By using Trigonometric identities, find the exact value of the expression. cos (120° – 45°). A 4 в)…

A:

Q: Find ALL the solutions of the following trigonometric equation. Write your answer in radians. 1…

A: Please see the explanation below

Q: Find the exact value of each of the remaining trigonometric functions.

A: Sine function is negative in the third and fourth quadrant and positive elsewhere. Cosine function…

Q: 3. Evaluate without calculator a. cos 120 degree. b. sec (pi/3) c. cot ( 19 pi / 6)

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Q: Given Sin 55°x 0.82 Find cos 35° 55 B

A: Given that : - sin 55°≈0.82 cos 35°=?

Q: If a flagpole casts a 13 ft shadow on the ground when the sun is at a 68° angle of elevation, which…

A:

Q: Use the given information to find the exact value of the expression.  cos θ = 5/13 , θ lies in…

A: Given :cosθ=513

Q: Use the given information to find the exact value of the expression. 20 a lies in quadrant I, and…

A: Here given that value of sin(Alpha) and cos( beta) and we find value of cos (Alpha + beta). Here i…

Q: Evaluate the expression using the given figure to obtain either a or B. 35 -1 (a) tan 12 12 (b) sin…

A: tan-13512

Q: Find the exact value of each of the remaining trigonometric functions of 0. -3130.0 —— 5' sin 8=…

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Q: Perform the operation and leave the result in trigonometric form. (Let 0s0 < 360°.) 72(cos 95° + i…

A: Find the complex number

Q: find the exact value of each trigonometric function. a) cos 9pi/4 b) sin (-9pi/4) c) cot (-5pi/4) d)…

A:

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a) 2 sin(18°)…

A: In this question we will use basic of trigonometry i.e sin2θ=2sinθcosθ In first question we will put…

Q: Find all solutions to the equation. 2sinθ+1=0 Write your answer in radians in terms of π.

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Q: Given cos A= -15/17 and cos B= -40/41 Find: Sin (A+B) , Cos (A+B) and Sin (A-B)

A: According to trigonometric formulas sin(A+B)=sin A cos B+cos A sin B , cos (A+B)=cos A cos B-sin A…

Q: Find a cofunction with the same value as the given trigonometric expression. Use "pi" to write r. 1)…

A: To find cofunction we use,         Cos(A)=sin(90-A)           Tan(A)=cot(90-A)

Q: Use a half angle formula to fill in the blanks in the identity below: (cos(4a))? = | + cos( x) %3D

A: We start from left hand side of the equation  (cos(4x))2  Apply half angle formula…

Q: ate the exact value of sin cos4 + cos sin4. Include a detailed diagra 15 15

A: We have to find the value of the given condition

Q: Find the cofunction A. Sin32 degree B. Sec (pi/4) C. Cos(pi/3) D. Cot19 degree

A: Two trig functions are ​cofunctions​ if one of them has the "co-" prefix in front of it.  like as :…

Q: 80 and A is in quadrant 4. 89 Find cos(2A), if sin(A)

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Q: Use the given information to find the exact value of the expression. a lies in quadrant II, and cos…

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Q: 5 Given that tan(0) = and is in Quadrant III, 12 what is cos(0)? Write your answer in exact form. Do…

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Q: Which of the following is true? a. sinθ = cos(90°+θ) b. cot(-θ) = cotθ c. tan2θ + cot2θ = 1

A: we have to identify which of the following is true?

Q: Find the cosine of I. 97 72 K Write your answer as an integer or as a decimal rounded to the nearest…

A:

Q: 1. Find the value of the following expressions in radians and sketch the angle. a) cos b) sec sec 3…

A: Solve for #1

Q: You are given that cos(A) = -, with A in Quadrant III, and cos(B) = -, with B in Quadrant II. Find…

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Q: Perform the indicated operation: 192 [ cos (196°) + i sin (196°) ]/ 16 [ cos (237°) +i sin (237°)1…

A:

Q: un a = 90° <a < 180°, then find the exact value of each of the following. α a. sin b. cos c. tan ...

A: We have to find trigonometry value

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.