Math 117 - Chapter 3 Study Guide

  1. Simplify the expressions. Look at problems 3.1.17-30. Three parts.
  2. First write the following as a trigonometric function of a single angle; then evaluate. Look at problems 3.1.57-60.
  3. Evaluate the value exactly. Use the half-angle or sum/difference of two angle formulas. Look at problems 3.1.51-56 and 3.2.17-22.
  4. Use the given identity to evaluate the expression.
    Example, if sin x cos y = 1 / 2 [ sin (x-y) + sin (x+y) ], then find sin 150° cos 120°.
  5. Given the sine or cosine of a value and the quadrant in which it lies, find other values using double and half-angle identities. Look at problems 3.2.23-26. Two parts.
  6. Use the calculator to find the inverse function value to the nearest tenth of a degree. Look at problems 3.4.21-32.
  7. Find each of the inverse functions exactly in both radians and degrees. Two parts. Look at problems 3.4.1-20.
  8. Evaluate the expression involving functions and inverse functions. Three parts. Look at problems 3.4.37-52.
  9. Solve, finding all solutions in the interval [ 0, 2π). Two parts. Look at problems 3.5.24-38.
  10. Prove the identity, two parts. Look at problems 3.3.1-30.
  11. Prove the identity, two parts. Look at problems 3.3.1-30.

Notes:

Points for each problem

# 1 2 3 4 5 6 7 8 9 10 11 Tot.
pts 10 5 5 5 10 5 6 12 10 8 8 84