MATH 135 TRIGONOMETRY PRACTICE TEST 1
The following problems are only examples of what may be on the test.
PROBLEMS MARKED WITH (NC) means NO CALCULATOR ALLOWED!
1. Find the remaining two sides of a 30°-60°-90° triangle if the hypotenuse is 2 em. (NC)
2. Draw 270° in standard position. Locate a point on the terminal side. Use the coordinates of
the point to find the sine, cosine, and tangent of 270°. (NC)
3. Give the exact values of the sine, cosine, and tangent of 45°. (NC)
4. Give the exact values of the sine, cosine, and tangent of 120°. (NC)
5. Draw 240° in standard position. (NC)
6. In which quadrant will B lie if sin B < 0 and cos B < O? (NC)
7. Let (-1,-2) be a point on the terminal side of an angle B in standard position. List the six
trigonometric functions of B. (NC)
B
8. Find see A. (NC)
9
9. Find tan B. (NC)
LI
C
10. If sin B =
11. If cos B =
8
'A
_!3 and B terminates in QII, find cos B.
~
,,10
(NC)
and B terminates in QIII, find sin B. (NC)
12. Write as a single fraction involving sin () and cas (). (NC)
secB
tanB
13. Use your calculator to find cos 17.8° to four decimal places.
14. Use your calculator to find e if sin e is 0.7649and e is acute. Round your answer to tenths.
15. Use the cofunction theorem to answer: (NC)
tan 10° = cot
16. Use your calculator to find cot 38° to four decimal places.
17. Find the value of 3sin(3x-30o)
if x =20°.
18. Give two angles that are coterminal with 150°. (NC)
20. Using identities, show that csc(} = secB.
cotB
(NC)
21. tan 225° = ? (NC)
22. cas 330° = ? (NC)
23. sec 210° = ? (NC)
24 A woman travels with a bearing of S 56°W for 15 miles. How far south and how far
west did she travel? Give your answers to the nearest tenth of a mile.
25. The angle of elevation from a given point on the ground to the top of a high building is 49.2°. The
angle of elevation from a point 400 feet further back to the top of the building is 29.5°. Find the
height of the building.
-~h
4000 ft