## Math 117 - Chapter 4 Study Guide

1. In each case, draw a triangle and identify the type of problem (SAS, SSA, etc). Solve if possible. Round your final answers to one decimal place. (While final answers should be rounded to one decimal place, be careful about rounding intermediate steps). Two parts. Look at problems 4.1.1-16;
2. In each case, draw a triangle and identify the type of problem (SAS, SSA, etc). Solve if possible. Round your final answers to one decimal place. Two parts. Look at problems 4.2.1-16
3. Find the area of the triangle. Look at problems 4.1.17-22.
4. Simplify the following and write the answer in standard form for a complex number. Three parts. Look at problems 4.3.1-44
5. Consider the given complex number. Graph the complex number, find its absolute value, and convert the number to trigonometric form. Look at problems 4.4.1-8, 13-20
6. Convert the complex number from trigonometric form to standard form. Look at problems 4.4.21-28
7. Convert to trigonometric form, perform the operation, and then write your answer in standard form. Two parts. Look at problems 4.4.33-40, 47-50
8. Find all complex solutions to the equation. Look at problems 4.4.67-72
9. Application of vectors. Look at problems 4.5.25-30.
10. Find the component form of the vector given the initial and terminal points. Look at problems 4.6.1-6
11. Perform the indicated calculations for the given vectors. Look at problems 4.6.9-26.
12. Perform the indicated calculations for the given vectors. Look at problems 4.6.45-48

### 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.
Points for each problem
 # 1 2 3 4 5 6 7 8 9 10 11 12 Tot. pts 10 10 5 12 9 4 12 5 5 4 12 12 100