Let r 1 - 2sintheta convert the polar equation to a

Question

1. Find the exact value of the following expressions. (A calculator approximation will earn only partial credit)

a) cos(13π/15)cos(-π/5)-sin(13π/15)sin(-π/5)

b) cos195^o + sin285^o

c) sin(cos^-12/3 + tan^-1√3)

2. Convert the polar equation below to a rectangular equation.

cos 2θ = 1

3. A triangle has side measures a = 30, c = 40, and angle, measure ∠A = 37^o. Determine all possible triangles that exist under these conditions.

4. Verify the trigonometric identify

cos²θ + tan²θ -1/sin²θ = tan²θ

5. Let r = 1 - 2sinθ. Convert the polar equation to a rectangular equation. Then sketch a graph of the polar equation on the graph provided. Show all necessary work.

6. Find all solution to the equation 5sinx - 6cos²x + 7 = 0.

Answer 1

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