Question 1

Which of the following is the correct value for $$\sin 45^\circ$$?

Accepted Answer

$$\dfrac{\sqrt{2}}{2}$$

Question 2

Using the 1-2-3 rule, what is the value of $$\cos 30^\circ$$?

Accepted Answer

$$\dfrac{\sqrt{3}}{2}$$

Question 3

A ramp is built at a $$30^\circ$$ angle to the ground. What is the sine of the angle the ramp makes with the ground?

Accepted Answer

$$\dfrac{1}{2}$$

Question 4

Which of the following is the correct value for $$	an 60^\circ$$?

Accepted Answer

$$\sqrt{3}$$

Question 5

If $$\sin 	heta = \dfrac{\sqrt{3}}{2}$$ and $$	heta is an $$acute angle, what is $$	heta$$?

Accepted Answer

$$60^\circ$$

Question 6

Using the left hand rule, which finger corresponds to $$45^\circ$$ and what is $$\sin 45^\circ$$?

Accepted Answer

Middle finger, $$\dfrac{\sqrt{2}}{2}$$

Question 7

A ladder leans against a wall making a $$60^\circ$$ angle with the ground. What is the cosine of the angle between the ladder and the ground?

Accepted Answer

$$\dfrac{1}{2}$$

Question 8

Which of the following is the correct value for $$	an 45^\circ$$?

Accepted Answer

$$1$$

Question 9

If $$\cos 	heta = \dfrac{1}{2}$$ and $$	heta is an $$acute angle, what is $$	heta$$?

Accepted Answer

$$30^\circ$$

Question 10

A triangle has one angle of $$30^\circ. $$What is the tangent of this angle?

Accepted Answer

$$\dfrac{1}{\sqrt{3}}$$

Question 11

Which of the following is the correct value for $$\sin 60^\circ$$?

Accepted Answer

$$\dfrac{\sqrt{3}}{2}$$

Question 12

A surveyor measures an angle of $$45^\circ$$ from the ground to the top of a building. What is the cosine of this angle?

Accepted Answer

$$\dfrac{\sqrt{2}}{2}$$

Question 13

Which of the following is the correct value for $$	an 30^\circ$$?

Accepted Answer

$$\dfrac{1}{\sqrt{3}}$$

Question 14

If $$\sin 	heta = \dfrac{1}{2}$$ and $$	heta is an $$acute angle, what is $$	heta$$?

Accepted Answer

$$30^\circ$$

Question 15

A right triangle has an angle of $$60^\circ. $$What is the tangent of this angle?

Accepted Answer

$$\sqrt{3}$$

Common Values of Sine, Cosine, and Tangent for 30°, 45°, and 60°

Study Guide - Practice Questions