Exam 6: Analytic Trigonometry

Use a half-angle identity to find the exact value of cot . Rationalize the denominator if necessary.

Evaluate exactly.

Use the cofunction identity to fill in the blank: sec 58° = csc____°.

Write As a sum or difference of sines and/or cosines.

Graph

Evaluate the expression exactly if possible. If not possible, state why.

Solve the given trigonometric equation exactly over the interval, 0 ≤ θ ≤ 2π.

If tan x = and , find cos2x.

Evaluate the expression exactly.

Solve the given trigonometric equation on0° $\le$ $\theta$ $\le$ 360° and express answer in degrees to two decimal places.

Find the exact value of . Give the exact answer.

Use a half-angle identity to to find the exact value of sin 337.5°.

Use fundamental identities to simplify

Use a quotient identity to find tan θ if sin θ = and cos θ = .

Evaluate the expression exactly if possible. If not possible, state why.

Evaluate the expression exactly if possible. If not possible, state why.

Solve the given trigonometric equation exactly over the interval, 0 $\le$ x $\le$ 2 $\pi$ .

Solve the given trigonometric equation on0° $\le$ $\theta$ $\le$ 360° and express answer in degrees to two decimal places.

Use a half-angle identity to find the exact value of sin .

Use fundamental identities to simplify