Inverse Trigonometric Functions is an important topic in the Mathematics section in BITSAT exam. Practising this topic will increase your score overall and make your conceptual grip on BITSAT exam stronger.
This article gives you a full set of BITSAT PYQs for Inverse Trigonometric Functions with explanations for effective preparation. Practice of BITSAT Mathematics PYQs including Inverse Trigonometric Functions questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.
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BITSAT PYQs for Inverse Trigonometric Functions with Solutions
1.
The period of $\tan 3\theta$ is- $\pi$
- $\frac{3 \pi}{4}$
- $\frac{\pi}{2}$
- None of these
2.
If $ f(x) = \sin^{-1}(2x\sqrt{1 - x^2}) $, then $ f'(x) $ is:- \( \frac{2(1 - 2x^2)}{\sqrt{1 - 4x^2(1 - x^2)}} \)
- \( \frac{2x(1 - 2x^2)}{\sqrt{1 - 4x^2(1 - x^2)}} \)
- \( \frac{1 - 2x^2}{\sqrt{1 - 4x^2(1 - x^2)}} \)
- \( \frac{2x\sqrt{1 - x^2}}{1 - x^2} \)
3.
The value of $\cos^{-1}x + \cos^{-1} \left(\frac{x}{2} + \frac{1}{2} \sqrt{3-3x^{2}}\right) ; \frac{1}{2} \le x \le 1 $ is- $ - \frac{\pi}{3}$
- $ \frac{\pi}{3}$
- $ \frac{3}{\pi}$
- $ - \frac{3}{\pi}$
4.
The period of $\sin^4 \, x + \cos^4 \, x$ is- $\frac{\pi^4}{2}$
- $\frac{\pi^2}{2}$
- $\frac{\pi}{4}$
- $\frac{\pi}{2}$
5.
If $ y = \tan^{-1}\left(\frac{2x}{1 - x^2}\right) $, then $ \frac{dy}{dx} $ is:- \( \frac{2}{1 + x^2} \)
- \( \frac{1 - x^2}{1 + x^2} \)
- \( \frac{2}{(1 - x^2)^2} \)
- \( \frac{2}{1 - x^2} \)
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