Use De Moivre's theorem to find the indicated power. Write the result in rectangular form, a+bi. Give answer in exact fraction form if necessary. [V5 (cos 117° + i sin 117°)] =[M - 0 i

Q: Determine whether the given ordered pair is a solution to the system of equations. 6x – y = 4 x + 8y…

A: Here we need to check whether that the given ordered pair (4,0) is a solution of the system of…

Q: For θ between 0° and 360°, find the two values of θ that satisfy the following.  cos θ = √2/2

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Q: express as one logarithm with a coefficient of 1:3log a/x+log b/y -2log c/z

A: Solution is given below:

Q: Find all angles, 0° < 0 < 360°, that solve the following equation tano =V3

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Q: Solve the equation for all degree solutions and if 0° ≤ ? < 360°. Do not use a calculator. (Enter…

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Q: Find all radian solutions to the following equation. (Give all answers as exact values in radians.…

A: Topic:- trigonometry

Q: If tant=−7/24 and π2 <t< π, find sint, cost, sect, csct, cott.   Enter the exact answers.…

A: Use  pythagorus theorem .

Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

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Q: 3) 3csc? 0 = 1 + 2csc2 0

A: Given query is to find the value of angle theta.

Q: Solve 8 tan x sin x-8 tan x = 0 in the interval [0,2x). The solution(s) is/are (Use a comma to…

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Q: Given the following points: P (2, -1, 6), Q(3,5,5) and R(0,3,8) forms a triangle. Find the length…

A: This is a problem related to mid point theorem of vector. Based on the general formula of mid point…

Q: If we know the values of sin(x) and cos(x), we can find the value of sin(2x) by using the…

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Q: A hamster running in a wheel of radius 14 cm spins the wheel one revolution in 20 seconds. a) What…

A: Given query is to find angular and linear velocity.

Q: Solve ∆ABC. Round to one decimal place where necessary. a = 25, b = 11, c = 24 A ≈ _º B ≈ _º C ≈ _º

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Q: Eliminate the parameter t in the following. x = cos 2t, y = sin t

A: Given

Q: write expression in terms of sines and or cosines and then simplify sec^2x + sin^2x

A: topic- trigonometric expressions

Q: Write the sum as a product. sin 9x + sin 7x

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Q: Find the exact value using half angle idcntity. COS 22.5° A.) - Jz+rz B-) 2-JZ C.) D.) 2. 2

A: This question can be solved using the formula of cos2A

Q: (Vocabulary and Concepts Fill in the blanks to make each statement true. I. State the bearing of the…

A: 1 A from O is------N 65 E 2 B from O is------S 30 E 3 C from O is------S 10 W 4 D from O is------N…

Q: 8. 6 4 2- -3 -1 -2 -6 -8

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Q: If tant=3/4 and π <t< 3 π/2, find sint, cost, sect, csct, cott.   Enter the exact answers.…

A: cot(t)=4/3 find all the answer

Q: 5) Find Vertical and Horizontal asymptote Show work 2x x² +1

A: We can find the asymptotes as below.

Q: 9. Use the triangle on the right to find the given trigonometric ratios. (Express your answers in…

A: We know that,  CscF=hypotenuse/height CosF=base/hypotenuse tanF=height/basese

Q: Use a graphing calculator to approximate the solutions of tan x = 3 over the interval [-21, 2n] to…

A: topic - inverse trigonometric functions

Q: From his eye, which stands 1.5 meters above the ground, Zachary measures the angle of elevation to…

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Q: Use the figure below to find all angles between 0 and 2n satisfying the given condition. (Enter your…

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Q: On a circle of radius 10 feet, what angle would subtend an arc of length 5 feet? degrees In a circle…

A: follow next step

Q: A solid in the form of a cube of edge 12 cm. is melted and formed into three smaller cubes of…

A: Given that the given function is edge of the third qube

Q: Use the figure below to find all angles between 0 and 2n satisfying the given condition. (Enter your…

A:

Q: 1-5. Given the right triangle below, determine the measure of side x. Show your 45° 16 cm

A: In Right angle Triangle ABC ,     cosθ = AdjacentHypotenuse

Q: 2/29 where 270 < 0 < 360 Given: sin 0 = - 29 Find: tan 20 20 21 29 20 20 29 29 21

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Q: cos theta = 4/5 find theta/2 when theta lies in Q IV

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Q: Determine the values of θ if 0 ≤ θ ≤ 2π given that cosx = − 0.3178. Explain your process.

A: Here we have to find the value of the given eqaution.

Q: Give the following identity      sin^2 θ + cos^2 θ = 1 derive the following      1+cot^2 θ=csc^2 θ…

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Q: A hamster running in a wheel of radius 10 cm spins the wheel one revolution in 10 seconds. a) What…

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Q: To estimate the height of a building, two students find the angle of elevation from a point (at…

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Q: Cos 2x

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Q: 2. Solve the equation on the interval [0, 27). V3 coS X CSC Xr 2 cos x

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Q: Given a trigonometric ratio, determine the other trigonomeli 1. sin Ø ;CSc Ø 2. sin Ø csc Ø 6. 3.…

A: As we know that; The trigonometric identities; 1). 1cscx=sinx 2). 1secx=cosx 3). 1cotx=tanx   Given:…

Q: 1 1 sec x - tan x sec x+ tan x

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Q: Solve AABC. (Round your answer for a to one decimal place. Round your answers for a and ß Y = 62°, C…

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Q: 1. Given 0 < 0 < 2n, what are the extraneous solutions for the equation cot 0 = csc0 + V3? (Select…

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Q: Find the equation for the linear function that passes through the pointy(-4,-9) and (8,6)

A: We can find the equation of linear function as below.

Q: Use the figure below to find all angles between 0 and 2n satisfying the given condition. (Enter your…

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Q: Suppose that a copper sphere of radius 3 cm is beaten and drawn into a wire of diameter 0.2 cm. What…

A: This question is based on mensuration problem.

Q: The following equation involves a trigonometric equation in quadratic form. Solve the equation on…

A: Let's find.

Q: The difference between two numbers is 40. They are in the ratio 9:7. Find each number.

A: The difference between two numbers is 40. They are in the ratio 9:7. To find each number.

Q: In right triangle ABC, sin B 2x-0.72 and cos C = 3x - 0.98. Solve for æ. %3D A - 0.26 B0.26 C0.36 D-…

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Q: For the ordered pair, give three other ordered pairs with ? between −360° and 360° that name the…

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Q: Write sum or difference of trigonometric function. 2 cos 8x cos 2x A.) cosbx-cos10X (cos10x+ cosbx)…

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