Q: Which of the following is the correct formula for $$\tan(A+B)$$?

$$\frac{\tan A + \tan B}{1 - \tan A \tan B}$$

Q: Which of the following is the correct double angle formula for $$\cos 2\theta$$?

$$\cos^2$ \theta - \sin^2$ \theta$$

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

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

Question 3

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

Accepted Answer

$$\sin A \cos B + \cos A \sin B$$

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 formula for $$\cos(A+B)$$?

Accepted Answer

$$\cos A \cos B - \sin A \sin B$$

Question 6

Which of the following is the correct formula for $$	an(A+B)$$?

Accepted Answer

$$\frac{	an A + 	an B}{1 - 	an A 	an B}$$

Question 7

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

Accepted Answer

$$\sin 	heta$$

Question 8

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

Accepted Answer

$$\cos^2$ 	heta - \sin^2$ 	heta$$

Question 9

A ladder leans against a wall making an angle $$	heta$$ with the ground. If the height reached by the ladder is $$h$$ and the length of the ladder is $$L$$, which trigonometric ratio relates $$h$$ and $$L$$?

Accepted Answer

$$\sin 	heta = \frac{h}{L}$$

Question 10

If $$\sin^2$ 	heta + \cos^2$ 	heta = 1$$, what is $$\sin^2$ 45^\circ + \cos^2$ 45^\circ$$?

Accepted Answer

$$1$$

Question 11

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

Accepted Answer

$$1$$

Question 12

If $$	an 	heta = \frac{\sin 	heta}{\cos 	heta}$$, what is $$	an 45^\circ$$?

Accepted Answer

$$1$$

Question 13

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

Accepted Answer

$$1$$

Question 14

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

Accepted Answer

$$\cos 	heta$$

Question 15

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

Accepted Answer

$$0$$

Question 16

If $$\sin^2$ 	heta = 1 - \cos^2$ 	heta$$, what is $$\sin^2$ 60^\circ$$?

Accepted Answer

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

$$\infty$$

Question 19

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

Accepted Answer

$$0$$

Question 20

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

Accepted Answer

$$1$$

Essential Trigonometric Identities, Formulas, and Graphs

Guida di studio - Domande di pratica

Study guide - Flashcard