## Math 117 - Chapter 3 Study Guide

1. Simplify the expressions. Look at problems 3.1.17-30. Three parts.
2. Rationalize the denominator or numerator. Look at problems 3.1.37-44.
3. First write the following as a trigonometric function of a single angle; then evaluate. Look at problems 3.1.57-60.
4. Complete the cofunction identity. Look at problems 3.2.5-8.
5. Evaluate the value exactly. Look at problems 3.2.17-22.
6. 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. Three parts.
7. Simplify the expressions. Two parts. Look at problems 3.2.31-38.
8. Find each of the inverse functions exactly in both radians and degrees. Two parts. Look at problems 3.4.1-20.
9. Use the calculator to find the inverse function value to the nearest tenth of a degree. Look at problems 3.4.21-32.
10. Evaluate the expression involving functions and inverse functions. Three parts. Look at problems 3.4.37-52.
11. Solve, finding all solutions in the interval [ 0, 2*pi ). Two parts. Look at problems 3.5.24-38.
12. Prove the identity. Look at problems 3.3.1-30.

### Notes:

• Some of the problems are directly from the text.
• The test was derived by looking at the chapter review and making problems similar to those problems, so you may want to look at the chapter review first and then if you have problems with those, go back to the problems given above as references.
• There is a take home portion of the exam consisting of proofs of identities. This is worth 16 points and is due the day of the in-class exam.

### Points for each problem

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