Class 12

14. Inverse Trigonometric Functions question bank (Maths)

Practice 90 free Class 12 Maths - 14. Inverse Trigonometric Functions questions with answers and step-by-step solutions.

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Q1.

If \( \alpha \le \sin^{-1}x + \cos^{-1}x + \tan^{-1}x \le \beta \), then

(A)
\( \alpha = \frac{\pi}{4} \)
(B)
\( \beta = \pi \)
(C)
\( \alpha = 0 \)
(D)
\( \beta = \frac{3\pi}{4} \)
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Q2.

If principal values of \( \sin^{-1}\left( \sin \frac{7\pi}{6} \right) \) and \( \cos^{-1}\left\{ -\sin\left( \frac{5\pi}{6} \right) \right\} \) are \( \lambda \) and \( \mu \) respectively, then

(A)
\( \lambda + \mu = \frac{\pi}{2} \)
(B)
\( \lambda - \mu = \frac{\pi}{2} \)
(C)
\( \lambda + \mu = -\frac{\pi}{6} \)
(D)
\( \mu - \lambda = \frac{5\pi}{6} \)
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