3. Trigonometry

Trig Identities — Quiz

Test your understanding of trig identities with 5 practice questions.

Practice Questions

Question 1

Simplify the expression $\frac{\sin\theta}{\csc\theta} + \frac{\cos\theta}{\sec\theta}$ using reciprocal identities.

Question 2

If $\sin\theta = \frac{5}{13}$ and $\theta$ is an acute angle, what is the value of $\tan\theta$?

Question 3

Which of the following expressions is equivalent to $\frac{1 - \sin^2\theta}{\cot^2\theta}$?

Question 4

If $\sec\theta = \frac{5}{4}$ and $\theta$ is an acute angle, what is the value of $\sin\theta$?

Question 5

Simplify the expression $(1 - \cos\theta)(1 + \cos\theta)$ using a Pythagorean identity.