Inverse Trigonometric Functions
NCERT Class 12
CBSE
Grade 12
Question:
Value of $\cos(\sin^{-1} x + \cos^{-1} x)$, $|x| \le 1$ is:
(a) $0$
(b) $1$
(c) $-1$
(d) $\dfrac{1}{2}$
Step-by-Step Solution
$\sin^{-1} x + \cos^{-1} x = \pi/2 \Rightarrow \cos(\pi/2) = 0$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating expression $= 0$: 1.0 Mark
Correct Answer: $0$
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