Inverse Trigonometric Functions
Oswaal
CBSE
Grade 12
Question:
If $\cos^{-1} x + \cos^{-1} y = \pi$, then $\sin^{-1} x + \sin^{-1} y$ is:
(a) $0$
(b) $\pi$
(c) $\pi/2$
(d) $2\pi$
Step-by-Step Solution
Key Concept: (\pi/2 - sin^{-1} x) + (\pi/2 - sin^{-1} y) = \pi => sin^{-1} x + sin^{-1} y = 0.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $0$
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