3. Geometry and Trigonometry

Simple Identities — Quiz

Test your understanding of simple identities with 5 practice questions.

Practice Questions

Question 1

What is the value of $\sin^2\theta + \cos^2\theta$ for any angle $\theta$?

Question 2

Which identity is equivalent to $\tan\theta = \dfrac{\sin\theta}{\cos\theta}$?

Question 3

If $\sin\theta = \dfrac{3}{5}$ and $\theta$ is in quadrant I, what is $\cos\theta$?

Question 4

Which identity is a consequence of dividing $\sin^2\theta + \cos^2\theta = 1$ by $\cos^2\theta$?

Question 5

Simplify $\dfrac{1 - \cos^2\theta}{\sin\theta}$, assuming $\sin\theta \neq 0$.