South Georgia State College
MATH 1113 PRACTICE TEST 3, FALL 2013
1. Simplify [pic]
2. Simplify [pic]
3. Simplify [pic]
4. Simplify [pic]
5. Establish the identity [pic]
6. Establish the identity [pic]
7. Find all solutions in the interval [0, 360°)
(a) [pic] (b) [pic] (c) [pic]
8. Solve [pic]
9. Using sum or difference formulas find exact values without using a calculator.
(a) tan 15° (b) sin 105° (c) cos 75°
10. Write as the sine or cosine of an angle
(a) cos 60° cos 20° + sin60° sin20° (b) sin 37° cos 13° ( cos 37° sin 13°
11. Evaluate [pic]
12. Find all solutions in the interval [0, 360°): [pic]
13. Find the exact value of [pic]if [pic]
14. Use a half angle formula to find cos 105°
Questions 15 – 17 use the following figure
15. Solve the triangle if [pic] Round answers to three decimal places.
16. Solve the triangle if [pic] Round answers to three decimal places.
17. Find the area of the triangle if [pic]
Questions 18 – 20 use the following figure
18. Solve the triangle if [pic] Round answers to three decimal places.
19. Solve the triangle if [pic] Round answers to three decimal places.
20. Find the area of the triangle if [pic]. Use Heron’s formula.
-----------------------
C
b
a
B
c
AC
C
b
a
B
c
AC
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