INTRODUCTORY EXERCISES - Trigonometric Identities and Solving Equations

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

  1. 1/sec x
  2. 1 / tan(-x)
  3. 5cos2 x + 5sin2 x
  4. (1-cos2 t)/sin t

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


(2) Use the addition formula for cosine to evaluate cos 105o.

( HINT , SOLUTION )


(3) Solve each equation for x, where 0 x 2.

  1. cos x = 0
  2. sin x - 1 = 0
  3. tan x = 0
  4. 2cos x =1

( HINT , SOLUTION )
Introductory Exercises Moderate Exercises
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