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

Question 1

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

Accepted Answer

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

Question 2

Given $$\cos(37^\circ) = \frac{4}{5}$$, what is $$\sin(53^\circ)$$?

Accepted Answer

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

Question 3

Which of the following is the correct formula for $$\sin(A \pm B)$$?

Accepted Answer

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

Question 4

Evaluate $$	an(53^\circ)$$ using the given values.

Accepted Answer

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

Question 5

Which identity correctly expresses $$\cos(A+B)$$?

Accepted Answer

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

Question 6

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 7

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 8

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

Accepted Answer

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

Question 9

If $$\cos(180^\circ - 	heta) = -\cos 	heta$$, what is $$\cos(180^\circ - 60^\circ)$$?

Accepted Answer

$$-\cos 60^\circ$$

Question 10

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

Accepted Answer

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

Question 11

Given $$\sin^2$ 	heta + \cos^2$ 	heta = 1$$, what is $$\sin^2$ 30^\circ + \cos^2$ 30^\circ$$?

Accepted Answer

$$1$$

Question 12

If $$\cos 	heta = 0.8$$, what is $$\sin 	heta if$$ $$	heta is in $$the first quadrant?

Accepted Answer

$$0.6$$

Question 13

Which of the following is the correct value for $$\sin 90^\circ$$?

Accepted Answer

$$1$$

Question 14

If $$	an 	heta = \frac{3}{4}$$, what is $$\sin 	heta$$?

Accepted Answer

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

Question 15

Which of the following is the correct value for $$\cos 0^\circ$$?

Accepted Answer

$$1$$

Question 16

If $$\sin(90^\circ - 	heta) = \cos 	heta$$, what is $$\sin(90^\circ - 37^\circ)$$?

Accepted Answer

$$\cos 37^\circ$$

Question 17

Which of the following is the correct value for $$\cos 90^\circ$$?

Accepted Answer

$$0$$

Question 18

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 19

If $$\sin 	heta = 0.6$$ and $$	heta is in $$the first quadrant, what is $$\cos 	heta$$?

Accepted Answer

$$0.8$$

Question 20

Which of the following is the correct value for $$	an 0^\circ$$?

Accepted Answer

$$0$$

Essential Trigonometric Identities and Properties

Study Guide - Practice Questions