Question 1

Convert $$144^\circ to $$radians.

Accepted Answer

$$\frac{8\pi}{5}$$

Question 2

Which of the following is the smallest positive coterminal angle for $$-1230^\circ$$?

Accepted Answer

$$210^\circ$$

Question 3

Find the exact value of $$\cos(-225^\circ).$$

Accepted Answer

$$-\frac{\sqrt{2}}{2}$$

Question 4

If the terminal side of an angle passes through the point $$(3, -4)$$, what is $$\sin 	heta$$?

Accepted Answer

$$-\frac{4}{5}$$

Question 5

Which quadrant(s) is it possible for $$\cos 	heta$$ and $$\csc 	heta to $$have opposite signs?

Accepted Answer

Quadrants II and IV

Question 6

Find the reference angle for $$-300^\circ.$$

Accepted Answer

$$60^\circ$$

Question 7

What is the exact value of $$\sin 30^\circ$$?

Accepted Answer

$$\frac{1}{2}$$

Question 8

Convert $$210^\circ to $$radians.

Accepted Answer

$$\frac{7\pi}{6}$$

Question 9

If $$\sin \alpha = -\frac{3}{5}$$ and $$\cos \alpha \u003c 0$$, what is $$\cos \alpha$$?

Accepted Answer

$$-\frac{4}{5}$$

Question 10

Find the exact value of $$\cot 45^\circ.$$

Accepted Answer

$$1$$

Question 11

Which of the following angles is coterminal with $$440^\circ$$?

Accepted Answer

$$80^\circ$$

Question 12

If $$\cos 	heta = \frac{1}{4}$$ and $$	heta is in $$quadrant IV, what is $$\sin 	heta$$?

Accepted Answer

$$-\frac{\sqrt{15}}{4}$$

Question 13

What is the exact value of $$\cos 60^\circ$$?

Accepted Answer

$$\frac{1}{2}$$

Question 14

Convert $$-45^\circ to $$radians.

Accepted Answer

$$-\frac{\pi}{4}$$

Question 15

If $$\sec 	heta = 2$$ and $$	heta is in $$quadrant II, what is $$\cos 	heta$$?

Accepted Answer

$$-\frac{1}{2}$$

Question 16

Find the exact value of $$\csc(-30^\circ).$$

Accepted Answer

$$-2$$

Question 17

Which of the following is undefined?

Accepted Answer

$$\cot 90^\circ$$

Question 18

If an angle has a terminal side passing through $$(0, -1)$$, what is $$\sin 	heta$$?

Accepted Answer

$$-1$$

Question 19

Convert $$900^\circ to $$radians.

Accepted Answer

$$5\pi$$

Question 20

If $$\sin 	heta = \frac{1}{3}$$ and $$\cos 	heta \u003c 0$$, what is $$\cos 	heta$$?

Accepted Answer

$$-\frac{2\sqrt{2}}{3}$$

Trigonometry Review #1 – Step-by-Step Study Guidance

Study Guide - Practice Questions