Trigonometry Basics Test - Sin, Cos, Tan

1. $Sin A = \frac{12}{16}$ for which of the following triangles?

2. $Tan A = \frac{13}{12}$ for which of the following triangles?

3. $Cos B = \frac{13}{33}$ for which of the following triangles?

4. Which trigonometric function can equal or be greater than 1.000?
Sine
Cosine
Tangent
none of the above

5. A plane ascends at a 40° angle. When it reaches an altitude of one hundred feet, how much ground distance has it covered? To solve, use the trigonometric chart. Round the answer to the nearest tenth.
64.3 feet
76.6 feet
80.1 feet
119.2 feet

6. A 20 ft. beam leans against a wall. The beam reaches the wall 13.9 ft. above the ground. What is the measure of the angle formed by the beam and the ground?
44°
35°
55°
46°

7. Which set of angles has the same trigonometric ratio?
Sin 45 and tan 45
Sin 30 and cos 60
Cos 30 and tan 45
Tan 60 and sin 45

8. What is the sum of trigonometric ratios Sin 54 and Cos 36?
0.809
1.618
1.000
1.536

9. What is the sum of trigonometric ratios Sin 33 and Sin 57?
0.545
1.000
1.090
1.383

10. What is the sum of trigonometric ratios Cos 16 and Cos 74?
0.276
0.961
1.237
1.922

11. In △ABC, vertex C is a right angle. Which trigonometric ratio has the same trigonometric value as Sin A?
Sin B
Cosine A
Cosine B
Tan A

12. In △ABC, Tan ∠A = 3/4. The hypotenuse of △ABC is
3
4
5
9

13. In △ABC, Sin ∠B = 14/17. The hypotenuse of △ABC is
14
17
√485
0.824

14. In △ABC, Cos ∠C = 22/36. The hypotenuse is
22
36
0.611
2√445

Circle whether each answer is True or False.

15. The sum of the sine of an angle and the cosine of its complement is always greater than 1.000.
True
False

16. The trigonometric ratio of sin 45, cos 45, and tan 45 are equal.
True
False