3. Trigonometry

Trig Identities — Quiz

Test your understanding of trig identities with 5 practice questions.

Practice Questions

Question 1

Which of the following expressions is equivalent to $\frac{\sin\theta}{\csc\theta} + \frac{\cos\theta}{\sec\theta}$?

Question 2

If $\tan\theta = \frac{3}{4}$ and $\theta$ is in the first quadrant, what is the value of $\cos(2\theta)$?

Question 3

Simplify the expression $$(1 - \cos^2\theta)(1 + \cot^2\theta)$$

Question 4

Which of the following is equivalent to $\frac{\sec\theta - \cos\theta}{\sin\theta}$?

Question 5

If $\sin\theta = \frac{1}{3}$ and $\theta$ is in the second quadrant, what is the value of $\tan\theta$?