Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. 14 2 [√² (cos+isin 2)] COS 3 3

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A: We can find the value of sin (34.3) using a calculator

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Q: 38. Which trigonometric function is represented in the graph below? O cos(2(0+)) +1 Osin(2(0-)) +…

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Q: 2. (a) Find the area below the curve: Between the limits 0 and 0.5 y = x²(0.5-x) dx 3

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Q: 5|8 If sin 0=- (a) cos 0 0 in quadrant II, find the exact value of (b) sin 0+ π (c) cos 8- SH (b)…

A: Given that quadrant II(a) using the identity in quadrant II cos is negative then

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Q: Write the following complex number in rectangular form. 10( cos 30° + i sin 30°) ... The rectangular…

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Q: +H 1 Find cos 0. (8.15) 0 ? Enter

A: given point is (8,15)

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A: For a right angle triangle

Q: (a) an = 3n(-1)n+1 (b) an = 5 4+2n сл

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Q: 3. Find all solutions to the trigonometric equation: 3csc² x -4 = 0

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Q: Solve the equation on the interval [0,2л). sec 30 2 = -2

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A: The given problem is solved below in detail.

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Q: 1 13 2 (-4---)- ( √3 2 (-1,0) √3 2 (0,1) (0, -1) 3 ग 6 (1,0) √√3 2 √3 √3 2 3- √√3 2₁ 2

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Q: Enter the number that belongs in the green box. 60° ? 22° 7 the parest hundredth

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A: The x and y coordinates of the line making the angle .The x-coordinate is -8.The y-coordinate is -1.

Q: 4. Find a formula for the nth term of the arithmetic series below. (a) a₁ = 4, d = 3 (b) a₁ = ², d =…

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Q: Given that sin 80 = 0.3577 and 0 is in quadrant I, find sin 20.

A: We have,Where,  is in quadrant I.To determine: The value of .

Q: Enter the number that belongs in the green box. 7 6 ?] 10 Round to the nearest hundredth. Enter

A: The solution is shown in step-2

Q: Use a calculator to find the following. Round your answer to four places past the decimal point.…

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Q: Question 5 Find the exact value by using a sum or difference identity. sin 165° = Blank 1 Blank 1…

A: The given trigonometric function is,

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Q: Enter the number that belongs in the green box. 7 13 9 [? ]° Round to the nearest hundredth. Enter

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Q: Find the area of this triangle. 31° 17 20 ?] square units Round to the nearest hundredth. Enter

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Q: What is the magnitude of v? (10, 17)

A: given vector

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A: The given identity is To verify the given identity.

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A: The figure and explanation is shown below-

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A: To solve the triangle, if possible.

Q: Find the Fourier sine series for f(x) = on 2)=7 On - -L≤ x ≤L.

A: f(x) = x on –L ≤ x ≤ LFind the Fourier sine series for f(x).