Practice — Inverse Trigonometric Functions

Easy

What is the value of \( \sin^{-1}(1) \)?

Easy

If \( \cos^{-1}(x) = 0 \), what is the value of \( x \)?

Easy

Find \( \tan^{-1}(1) \).

Easy

Evaluate \( \sin\left( \sin^{-1}\left( \frac{1}{2} \right) \right) \).

Medium

If \( \sin^{-1} x + \cos^{-1} x = \theta \), then \( \theta \) equals:

Medium

Find the value of \( \tan\left( \cos^{-1} \frac{3}{5} \right) \).

Hard

If \( y = \sin^{-1}(2x) \), find \( \frac{dy}{dx} \).

Medium

Solve for \( x \): \( \cos^{-1} x = \sin^{-1} \frac{\sqrt{3}}{2} \).

Hard

If \( \tan^{-1} x + \tan^{-1} y = \frac{\pi}{4} \), find the relation between \( x \) and \( y \).

Inverse Trigonometric Functions