Use DeMoivre's Theorem to find the indicated power of the complex number. Write answers in rectangular form. cos ,+ i sin + i sin cos (Type an integer or a simplified fraction.)

Q: Look at the triangles 30° Which trigonometric ratios can be determined from the triangles? Select…

A: From the given triangle, we have to find the trigonometric ratios

Q: If B = 29° and a = 9, determine the value of c. Round to two decimal places. B.

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Q: Eliminate the parameter t in the following. x = cos t − 3  y = sin t + 2

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Q: 2 sin 0 sin y = cos(0 – 4) – cos(0+4) Equation 1 - Trigonometric Identity - Product of Sines…

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Q: 7. Graph the hyperbola described by the equation 12x-12x = 4y + 8y + 49, and give the coordinates of…

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Q: A segment 150 cm long is divided into 3 parts 2:3:5. How long each part?

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Q: Given that a = (-1, 3), b = (-4, -3), and c = (-1, 5), find the number. %3D (a) a (b + c) (b) a ·b +…

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Q: 6: evaluate öz/du and öz/ðv at the given point (u, v). tan (x/y), x = u cos v, (и, v) —D (1.3, п/6)…

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Q: A triangle has sides 5 and five with angle of 44 between them. Find the value of the third side.…

A: two side 5 and angle between them is 44 so other two angle are 180-44 = 136/2 = 68 each because it…

Q: complete identity cos (a-B) / cos a sin B

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Q: (b) –8/2 +8V21 | (X The polar form is | 18 cos + i sin 4 4 Give an exact answer.

A: Here we will find the polar form of given complex number,

Q: Prove the following identity. csc e - cot 0 Sin2 e 2 csc e We begin by writing the right side of the…

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Q: 4) sin 195°

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Q: Given: sin 0 = V6 " where 180 <0 < 270 3. Find: sin V 18+6/3 6 2+V3 | V18-6,3 6. V2+V3

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

A: Use  pythagorus theorem .

Q: Question 3 Given: sin 0 = 15 17' , where 0 <0< 90 Find: cos 20 240 161 289 161 161 240 161 289…

A: Dind cos 2theta

Q: Question 6 tan What is the exact value of 12 Show your work

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

A: Solution is given below:

Q: Let triangle ABC be an equilateral triangle of sides 100 units long. Find the coordinates of points…

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Q: QUESTION 5 1. Find the value of a so that the trigonometric function passes through the given point.…

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Q: Eliminate the parameter t in the following. x = 4 csc t, y = 4 cot t

A: Given,x = 4 csc t, y = 4 cot t  To be found : eliminate the parameter t in given conditions

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…

A: Given: 8tanxsinx-8tanx=0  ; [0,2π)

Q: You may need to use the appropriate appendix table or technology to answer this question. Consider…

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Q: 8. Given that cos 0 = and 90° <0 < 180°, find each of the following. (e) tan

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Q: A 17 ft ladder leans against the side of a house. The bottom of the ladder is 9 ft away from the…

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Q: 168 (Show your solution) 1./ Solve the value of (2xt 12)° (ex - 14)°

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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: he following identity. tan + cot = 2 csc x We begin by writing the left side of the equation in…

A: Given query is to prove the identity.

Q: 4. The base of an isosceles triangle is 20.4 and the base angles are 4840. Find the equal sides and…

A: Let's find.

Q: 4 m 2.5 m 5 m 65° 6 m

A: Use cosine rule

Q: a circle is 24 cm and the distance is

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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: Plot the complex number. 6V2 - 6/2i

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Q: Use a product-to-sum identity to rewrite the expression. cos 43° cos 17° cos 43° cos 17° = (Simplify…

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

A: Let's find.

Q: Special Right Triangles Find the missing side lengths. Leave your answers as radicals in simplest…

A: I have solved step by step in detail...go through the solution

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: Consider the vectors. (4, –6), (-6, 2) (a) Find the dot product of the two vectors. (b) Find the…

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Q: Problem 7: Find all possible radian solutions to the equation, sin x = sin(2x) = 0. Do not use a…

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Q: Find the width of a river at points A and Bif the angle BAC measures 90°, the angle ACB measures…

A: The given figure is: To find AB

Q: Solve 4 sin (w) – 23 sin(w) + 15 = 0 for all solutions 0 < w < 27 %3D

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Q: q.3

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Q: Write the complex number in polar form. Express the argument in radians. - 4 + 43i

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Q: C. Using a protractor, sketch each angle in standard position. Then, classify each angle according…

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Q: 128 8.8 2.8 22.4 .y%3D

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Q: Convert the polar equation to a rectangular equation. r= 6 cos e + 5 sin 0 О х2 - у2 - 6х + 5y O x²…

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Q: Solve ΔABC. (Round your answers to the nearest degree. If there is no solution, type  NO SOLUTION.)…

A: The Cosine rule; a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=b2+a2-2abcosC Given: a=12, b=17 &amp; c=15

Q: Giventhat a = (2, 2), b = (-2, 5), and c = = (-4, -3), find the number. (Round your answer to one…

A: As we know that the component of a vector a along the direction of vector b is:

Q: Write the equation of a sine function given the following characteristics: Amplitude = 3, Period =…

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Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference.…

A: Given query is to rewrite the expression.