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Inverse Trigonometric Functions

Oswaal

CBSE

Grade 12

Question:

The value of $\tan^{-1}(1) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(-\frac{1}{2}\right)$ is:
(a) $3\pi/4$
(b) $\pi/4$
(c) $\pi/2$
(d) $\pi$

Step-by-Step Solution

Key Concept: \pi/4 + (\pi/2) = 3\pi/4 since cos^{-1}(-1/2) + sin^{-1}(-1/2) = \pi/2.

The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.

Correct Answer: $3\pi/4$

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