MODERATE EXERCISES - Trigonometric Identities and Solving Equations

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

  1. tan(-/4)
  2. (1 + csc x) / csc x

( Click On HINT To Get Some Help , Click On SOLUTION To See The Answer )

(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.)

  1. tan x = 1
  2. 2 sin(x) + 1 = 0
  3. sqrt(3)tan(x) = 1

( HINT , SOLUTION )

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

( HINT , SOLUTION )

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

( HINT , SOLUTION )
Introductory Exercises Moderate Exercises
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