Adaptive Practice
Inverse Trigonometric Functions
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Question 1 of 10
⏱ 0:30
Easy
If \( \sin^{-1}\left(\frac{1}{2}\right) = \theta \), what is the value of \( \theta \) in radians?
Easy
Find the value of \( \cos^{-1}(0) \).
Medium
Evaluate \( \tan^{-1}(1) + \tan^{-1}(\sqrt{3}) \).
Easy
If \( y = \sin^{-1}x \), find \( \frac{dy}{dx} \).
Medium
Simplify \( \sin^{-1}(\sin 7\pi/6) \).
Easy
Find the exact value of \( \cos\left(\sin^{-1}\frac{3}{5}\right) \).
Hard
Solve for \( x \): \( \tan^{-1}x + \tan^{-1}2x = \frac{\pi}{4} \).
Easy
If \( \sin^{-1}x + \cos^{-1}x = \theta \), find \( \theta \).
Medium
Evaluate \( \tan^{-1}\left(\frac{1}{2}\right) + \tan^{-1}\left(\frac{1}{3}\right) \).
Easy
Find the principal value of \( \cos^{-1}\left(-\frac{1}{2}\right) \).