Inverse Trigonometric Functions
NCERT Class 12
CBSE
Grade 12
Question:
If $\sin(\sin^{-1} 1/5 + \cos^{-1} x) = 1$, then $x$ is equal to:
(a) $\dfrac{1}{5}$
(b) $1$
(c) $0$
(d) $\dfrac{4}{5}$
Step-by-Step Solution
$\sin^{-1}(1/5) + \cos^{-1} x = \pi/2 \Rightarrow x = 1/5$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Solving $x = 1/5$: 1.0 Mark
Correct Answer: $\dfrac{1}{5}$
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