Trigonometry

Practice Questions

SAT Subject Test in Math I › Trigonometry

Page 1 of 9

10 of 86

1

If $\sin \beta = \frac{3}{5}$ and $0 < \beta < \frac{\pi}{2}$ , evaluate $\cos 2\beta$ .

2

Determine the exact value of .

3

In a triangle, , what is the measure of angle A if the side opposite of $\angleA$ angle A is 3 and the adjacent side to angle A is 4?

(Round answer to the nearest tenth of a degree.)

4

Solve for $\theta$ between $[0,2\pi]$ .

$\cos (2\theta )=\frac{1}{2}$

5

Using trigonometric identities prove whether the following is valid:

$\sin^{2}A + \cot^{2}A = \frac{2\sin^{4}A +2\cos^{2}A}{1 - \cos 2A}$

6

If $\sin \beta = \frac{3}{5}$ and $0 < \beta < \frac{\pi}{2}$ , evaluate $\cos 2\beta$ .

7

In a triangle, , what is the measure of angle A if the side opposite of $\angleA$ angle A is 3 and the adjacent side to angle A is 4?

(Round answer to the nearest tenth of a degree.)

8

Solve for $\theta$ between $[0,2\pi]$ .

$\cos (2\theta )=\frac{1}{2}$

9

Determine the exact value of .

10

Using trigonometric identities prove whether the following is valid:

$\sin^{2}A + \cot^{2}A = \frac{2\sin^{4}A +2\cos^{2}A}{1 - \cos 2A}$

Page 1 of 9

Return to subject