$$\cos(180^\circ - \theta) = -\cos \theta$$

$$\cos 2\theta = 2\cos^2$ \theta - 1$$

Question 1

Which of the following is the correct value for $$\sin 37^\circ$$?

Accepted Answer

$$\frac{3}{5}$$

Question 2

Given $$\cos(180^\circ - 	heta)$$, which of the following identities is correct?

Accepted Answer

$$\cos(180^\circ - 	heta) = -\cos 	heta$$

Question 3

Which formula correctly expresses $$\sin(A + B)$$?

Accepted Answer

$$\sin(A + B) = \sin A \cos B + \cos A \sin B$$

Question 4

If $$	an 53^\circ = \frac{4}{3}$$, what is $$	an 37^\circ$$?

Accepted Answer

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

Question 5

Which of the following is the correct double angle formula for $$\cos 2	heta$$?

Accepted Answer

$$\cos 2	heta = 2\cos^2$ 	heta - 1$$

Question 6

A ladder leans against a wall making an angle $$	heta$$ with the ground. If $$\sin 	heta = \frac{3}{5}$$, what is the value of $$\cos 	heta$$?

Accepted Answer

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

Question 7

Which of the following is the correct value for $$\cos 53^\circ$$?

Accepted Answer

$$\frac{3}{5}$$

Question 8

If $$	an(A + B) = \frac{	an A + 	an B}{1 - 	an A 	an B}$$, what is $$	an(45^\circ + 45^\circ)$$?

Accepted Answer

$$	ext{undefined}$$

Question 9

Which of the following is the correct value for $$\sin 63^\circ$$?

Accepted Answer

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

Question 10

Given $$\cos^2$ 	heta + \sin^2$ 	heta = 1$$, what is $$\sin^2$ 	heta in $$terms of $$\cos^2$ 	heta$$?

Accepted Answer

$$1 - \cos^2$ 	heta$$

Question 11

If $$\cos(90^\circ - 	heta) = \sin 	heta$$, what is $$\sin(90^\circ - 	heta)$$?

Accepted Answer

$$\cos 	heta$$

Question 12

Which of the following is the correct value for $$\cos 37^\circ$$?

Accepted Answer

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

Question 13

A ramp rises at an angle $$	heta$$ such that $$	an 	heta = \frac{3}{4}. $$What is $$\sin 	heta$$?

Accepted Answer

$$\frac{3}{5}$$

Question 14

Which of the following is the correct value for $$	an 53^\circ$$?

Accepted Answer

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

Question 15

If $$\sin(A + B) = \sin A \cos B + \cos A \sin B$$, what is $$\sin(60^\circ + 30^\circ)$$?

Accepted Answer

$$1$$

Question 16

Which of the following is the correct value for $$	an 37^\circ$$?

Accepted Answer

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

Question 17

If $$\cos(A + B) = \cos A \cos B - \sin A \sin B$$, what is $$\cos(60^\circ + 30^\circ)$$?

Accepted Answer

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

Question 18

Which of the following is the correct value for $$\cos 63^\circ$$?

Accepted Answer

$$\frac{3}{5}$$

Question 19

If $$	an(A + B) = \frac{	an A + 	an B}{1 - 	an A 	an B}$$, what is $$	an(45^\circ + 30^\circ)$$?

Accepted Answer

$$\frac{1 + \frac{1}{\sqrt{3}}}{1 - 1 \cdot \frac{1}{\sqrt{3}}}$$

Essential Trigonometric Identities and Properties

Study Guide - Practice Questions