Express sin 6θ as a polynomial in sin θ and cos θ.

Expert Solution

Colby Messinger answered 2 years ago

If 3/(2+ cos θ+i sin θ) = a+ib, then [(a-2)2+b2] is

Find the values of sin θ, cos θ, and tan θ for the given right triangle. Give the exact values.

1) Find the critical numbers of the function. f(θ) = 16 cos θ + 8 sin^2 θ

1) Find the critical numbers of the function. f(θ) = 16 cos θ + 8 sin^2 θ θ=? 2) Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x/(x^2 − x + 9), [0, 9] 3) f(x) = 3x3 + 4x2 + 7x + 5, a = 5 (f −1)'(a) = ?

3. Let g(θ) = 2 cos(θ) + sin(2θ) . Find the absolute maximum and minimum values...

3. Let g(θ) = 2 cos(θ) + sin(2θ) . Find the absolute maximum and minimum values of g on the interval [0, π/2]

Given H = (3R^2/ sin θ) aθ + 54 R cos θ aφ A/m (a) Find...

Given H = (3R^2/ sin θ) aθ + 54 R cos θ aφ A/m (a) Find J. (b) Find the total current in the aθ direction through the conical surface θ = 20◦, 0 ≤ φ ≤ 2π, 0 ≤ R ≤ 5 Please explain (b) thoroughly.

verify the identities a.) (cos 8x + cos 4x) / (sin 8x - sin 4x) =...

verify the identities a.) (cos 8x + cos 4x) / (sin 8x - sin 4x) = Cot(2x) b.) tan^2(x/2) = 1 - 2cot(x)csc(x) + 2Cot^2x

Use De Moivre’s Theorem to show cos(3θ) = 4 cos^3 θ - 3 cos θ Hence,...

Use De Moivre’s Theorem to show cos(3θ) = 4 cos^3 θ - 3 cos θ Hence, obtain all solutions of x for the following equation 3x 4x^3 = 1.

Problem 2 Statement: Let r1 = 1 + cos θ and r2 = 3 cos θ....

Problem 2 Statement: Let r1 = 1 + cos θ and r2 = 3 cos θ. (a) Graph each function in the rθ-plane. (b) Find all intersection points (both collision and non-collision). (c) Find the area common to the two graphs.

proof Sin(A)-Sin(B), cos(A)+cos(B) Geometrically, A and B are acute angles

(tan2(θ) − 16)(2 cos(θ) + 1) = 0

Solve the given equation. (tan2(θ) − 16)(2 cos(θ) + 1) = 0 θ =

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