MODERATE EXERCISES - Trigonometric Identities and Solving Equations
(1) Use the reciprocal, Pythagorean, and even-odd identities to help simplify each expression.
- (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).