Solve each equation and write the general equation for all possible solutions using radians.

#1. 4 cos x = ? 1 + 2 cos x

#2. 3 cot²x = 1

Using factoring, solve the equations for all solutions on the interval [0, 2?).

#3. 4 sin²x ? 4 sin x = ?1

#4. 2 sin x cos x = ?cos x

Prove the following identities.

#5. (csc x ? tan x) sin x cos x = cos x ? sin²x

#6.

\f