### MODERATE EXERCISES - Trigonometric Identities and Solving Equations

**(1)** Use the reciprocal, Pythagorean, and even-odd identities to help simplify each expression.

- tan(-/4)
- (1 + csc x) / csc x

**(2)** Solve each equation for x, where 0 x 2. (If you like, solve the equation for x in degrees, then convert your answers to radians.)

- tan x = 1
- 2 sin(x) + 1 = 0
- tan(x) = 1

**(3)** Rewrite sin(x+h) in terms of trigonometric functions of x and h.

**(4)** Evaluate cos(/12) exactly (no decimal answers).