Find the quotient given: z = (cos 235° + i sin 235°) and w = = (cos 355° +i sin 355°) %3D A. Express your answer in exact trigonometric form in degrees. B. Express your answer in exact standard form. C. Express your answer in approximate standard form, rounding to 4 decimals.

Q: 4) cos Z 12 Y 37 35 A) 0.3429 B) 0.9459 C) 0.3243

A: cos θ = adj / hyp Here with respect to z , adj = YZ, hyp =XZ YZ = 35 XZ = 37 cos Z  = 35/37 =…

Q: Given sin t = 2/5 and cos t = √21/5, find the value of each of the four remaining trigonometric…

A:

Q: Use the information given below to find cos (a+B). 4 with a in quadrant III tan a= 3' - 8. sin B=…

A: Given that: tanα=43, α lies in quadrant III.sinβ=817, β lies in quadrant II

Q: If cos t and t is in the 3d quadrant, then sint

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Q: Find the value of the trigonometric ratio.* 4) cos X X. 24 32 40 4. A) B) 4. 3. D)

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Q: Use the given information to find the exact function value. a) sin 20 1.) cot 0 = - 4, 3n/2 < 0 < 2n…

A: Given query is to find the value of the given trigonometric functions.

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

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Q: Reduce sin θ + 2 cos θ to the form r sin(θ + ϕ), and find ϕ

A:

Q: Find the cosine of ZP. Q 15 R. 8. Write your answer as an integer or as a decimal rounded to the…

A:

Q: Use the information given below to find cos (a-B). sin a= with a in quadrant IV 13' 12 sinß= with B…

A: We know that,  In fourth quadrant, all the cosines are positive and in second quadrant all cosines…

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: We have to prove the following statement -  1-sin2xcot2x = sin2x

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A:

Q: Given cos 0 = , find the value of sec 0 12

A: cosθ=-712

Q: Find the exact value of cos a, given that sin a = and a is in quadrant I. 11

A:

Q: Find the exact value, given that sin A = - 4/5, with A in quadrant IV, tan B = 7/24 with B in…

A:

Q: Find the remaining trigonometric ratios of theta based on the given information.   sec theta = b and…

A: secθ=b and terminates in Q1.

Q: Approximate the acute angle u to the nearest (a) 0.01 and (b) 1'.

A: Approximate the acute angle u to the nearest (a) 0.01 and (b) 1 Given, cosθ=0.8

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

A: We have to find exact value of the expressions: a  sin -3π2b  cos -225°c  tan -π We know the…

Q: Use the information given below to find cos (a-B). 12 cos a = with a in quadrant IV 13 tan ß =, 4…

A: then identity =cos(A-B)=cosA.cosB+sinA.sinB

Q: 25. Use the trigonometric ratio sin e= -0.2761 to determine which of the following is the correct…

A: Given is  Sin θ = -0.2761  So, thing to notice here is that, the value of sin θ is -ve  We know…

Q: Approximate the following to three decimal plac a. cos(88°10') b. sin(1.48)

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Q: Use the adjacent figure to find the exact value of the following trigonometric function. cos 3 8 IN

A: For the given triangle below, To find the value of cosα2.   Explanation: Pythagoras theorem: It…

Q: Use the information given below to find sin (a+ B). 12 with a in quadrant I cOs a = %3D 13' 12 sin…

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Q: Perform the indicated operations and simplify the result. sec e sin e 1 tan e 1 - sin 0 1 sec20

A: To perform the indicated operations and simplify the result.

Q: Use the figure below to find the exact value for cos(30°). V3 1 60°

A: Solution: The objective is to find the required value

Q: Find the value, correct to 3 decimal places for each expression: (a) sec(arctan(2)) (b) cos(2 sin())…

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Q: Find the value of each trigonometric ratio to the nearest ten-thousandth. 11) cos Z 12) cos C B 12…

A:

Q: Use the trigonometric ratio cos e= 0.6798 to determine which of the following is the correct value…

A: Given information: cosθ=0.6798, 0≤θ≤360°. Calculation: cosθ=0.6798,  0≤θ≤360°θ=cos-10.6798,…

Q: Use the given information to find the exact value of : a. sin 2θ b. cos 2θ c. tan 2θ.

A: we have been given that cosθ=2425, θ lies in quadrant IV we have to find the value of (a)sin2θ…

Q: Find all angles, 0° << 360° , that satisfy the equation below, to the nearest 10th of a degree. -9…

A: To solve this problem we use sin2θ+cos2θ=1

Q: Use the information given below to find cos (a-B). 12 with a in quadrant I 13 cos a= 8 17 with B in…

A: given: cosα=1213, with α in quadrant I sinβ=817, with β in quadrant II we have to find the exact…

Q: Find the acute angle in radians between the planes -2x + z = 1 and 1y + z = 1. You may ieave your…

A:

Q: Use the approximation sin 67° 0.92 with trigonometric identities to find the approximate value of…

A: We have  Sin67° = 0.92

Q: Find the value, correct to 3 decimal places for each expression: (a) sec(arctan(2)) (b) cos(2 sin-()…

A:

Q: Find the value of each trigonometric ratio. Express your answer as a fraction in lowest terms. 1)…

A: Authoring guidelines:…

Q: Use the information given below to find cos (a - B). 4 with a in quadrant I tan a =- 3' cos ß = 3…

A: Given : tanα = 43, with α in quadrant 1cosβ = 35, with β in quadrant 4.   To find : cosα-β?

Q: Use the adjacent figure to find the exact value of the following trigonometric function. 3. sin 5 4

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Q: On the following unit circle, 0 is in radians. Y 1 -1 1 Which two of the following expressions are…

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Q: Find the exact value. a. cos, 2.

A: a. Obtain the value of cos3π2, cos3π2=cos2π-π2=cosπ2=0   Thus, the exact value of cos3π2 is 0.

Q: Use the given conditions to find the exact value of the expression. 3 cot(a): cos(a) < 0, tan (a + 4…

A: Here we use  trigonometric identity to solve the problem.

Q: pproximate, to the nearest 0.01 radian, all angles ? in the interval [0, 2?) that satisfy the…

A: Hello. Since your question has multiple parts, we will solve the first three parts for you. If you…

Q: Find the cosine of ZI. H. 45 J 53 Write your answer as an integer or as a decimal rounded to the…

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Q: Convert 5 + 2i to its trigonometric form, that is r(cos+ i sin 0) where is in radians to 3 decimal…

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Q: Use the information given below to find cos (a - B). 5 with a in quadrant III 13 sin a 12 cos ß =…

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Q: approximate the acute angle θ to the nearest 0.0001° for (a) and (b) and " for (c) and (d)…

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Q: Find the exact value of COS 2x given that sin x III. 3 and is in quadrant

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Q: Determine the value of sin a + cos a for a = 20 degrees. %3D

A: Here we have to evaluate the value at given x.

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.