Trigonometry is an important topic in the Mathematics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.
This article gives you a full set of MHT CET PYQs for Trigonometry with explanations for effective preparation. Practice of MHT CET Mathematics PYQs including Trigonometry questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.
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MHT CET PYQs for Trigonometry with Solutions
1.
If \( \sin^{-1} x + \cos^{-1} y = \frac{3\pi}{10} \), then the value of \( \cos^{-1} x + \sin^{-1} y \) is:- \( \frac{\pi}{10} \)
- \( \frac{7\pi}{10} \)
- \( \frac{9\pi}{10} \)
- \( \frac{3\pi}{10} \)
2.
If $ \tan \theta = \frac{3}{4} $, find the value of $ \sin \theta $.- \( \frac{3}{5} \)
- \( \frac{4}{5} \)
- \( \frac{5}{4} \)
- \( \frac{3}{4} \)
3.
In $ \triangle ABC $, with usual notations, $ \sin \left( \frac{A}{2} \right) \cdot \sin \left( \frac{C}{2} \right) = \sin \left( \frac{B}{2} \right) \quad \text{and} \quad 2s \text{ is the perimeter of the triangle. Find the value of } s. $ Then the value of $ s $ is:- \( 2b \)
- \( 6b \)
- \( 3b \)
- \( 4b \)
4.
One of the principal solutions of \( \sqrt{3} \sec x = -2 \) is equal to:- \( \frac{\pi}{4} \)
- \( \frac{2\pi}{3} \)
- \( \frac{\pi}{6} \)
- \( \frac{5\pi}{6} \)
5.
The value of \( \sin(\cot^{-1}(x)) \) is:- \( \frac{1}{\sqrt{1 + x^2}} \)
- \( \sqrt{1 + x^2} \)
- \( \frac{1}{x\sqrt{1 + x^2}} \)
- \( x\sqrt{1 + x^2} \)
6.
If \(\alpha + \beta = \frac{\pi}{2}\) and \(\beta + \gamma = \alpha\), then the value of \(\tan\alpha\) is:- \(\tan\beta + \tan\gamma\)
- \(2(\tan\beta + \tan\gamma)\)
- \(\tan\beta + 2\tan\gamma\)
- \(2\tan\beta + \tan\gamma\)
7.
\( \sin^{-1}[\sin(-600^\circ)] + \cot^{-1}(-\sqrt{3}) = \)- \( \frac{\pi}{6} \)
- \( \frac{\pi}{4} \)
- \( \frac{7\pi}{6} \)



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