Question 1

Convert $$144^\circ to $$radians. Which of the following is correct?

Accepted Answer

$$\frac{4\pi}{5}$$

Question 2

Which of the following angles is coterminal with $$-25^\circ$$?

Accepted Answer

$$335^\circ$$

Question 3

Find the smallest positive coterminal angle for $$-1230^\circ.$$

Accepted Answer

$$210^\circ$$

Question 4

What is the reference angle for $$-220^\circ$$?

Accepted Answer

$$40^\circ$$

Question 5

Evaluate $$\cos 60^\circ.$$

Accepted Answer

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

Question 6

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

Accepted Answer

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

Question 7

Which quadrant(s) contain angles where $$\cos 	heta$$ and $$\csc 	heta$$ have opposite signs?

Accepted Answer

Quadrants II and IV

Question 8

A ladder leans against a wall making a $$30^\circ$$ angle with the ground. If the ladder is 10 ft long, how high up the wall does it reach? (Use $$\sin 30^\circ.)$$

Accepted Answer

$$5 ft$$

Question 9

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

Accepted Answer

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

Question 10

Which of the following is the exact value of $$\cot 45^\circ$$?

Accepted Answer

$$1$$

Question 11

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

Accepted Answer

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

Question 12

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

Accepted Answer

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

Question 13

Evaluate $$\sin 30^\circ.$$

Accepted Answer

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

Question 14

Which of the following is undefined?

Accepted Answer

$$\cot 90^\circ$$

Question 15

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

Accepted Answer

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

Question 16

A Ferris wheel rotates $$900^\circ$$ from its starting position. How many full rotations has it completed, and what is the coterminal angle in degrees?

Accepted Answer

2 full rotations, $$180^\circ$$

Question 17

If $$\sin 	heta = \frac{5}{13}$$ and $$	heta is in $$quadrant II, what is $$\cos 	heta$$?

Accepted Answer

$$-\frac{12}{13}$$

Question 18

Which of the following is the value of $$\sec \pi$$?

Accepted Answer

$$-1$$

Question 19

If $$\cos 	heta = 0$$, what is $$\sin 	heta$$?

Accepted Answer

$$1 or$$ $$-1$$

Question 20

A ramp rises $$3$$ feet over a horizontal distance of $$4$$ feet. What is $$	an 	heta$$ for the angle $$	heta$$ the ramp makes with the ground?

Accepted Answer

$$\frac{3}{4}$$

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

Study Guide - Practice Questions

Study Guide - Flashcards