3. Geometry and Trigonometry

Inverse Trigonometric Functions — Quiz

Test your understanding of inverse trigonometric functions with 5 practice questions.

Practice Questions

Question 1

What is the main purpose of using an inverse trigonometric function such as $\sin^{-1}(x)$ or $\arcsin(x)$?

Question 2

What is the principal value of $\sin^{-1}(\tfrac{1}{2})$?

Question 3

What is the range of $\arctan(x)$?

Question 4

Which statement correctly describes $\sin\left(\sin^{-1}(x)\right)$ for values of $x$ in the domain of $\sin^{-1}(x)$?

Question 5

What is the domain of $\cos^{-1}(x)$?