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Class 12 Inverse Trigonometric Functions · Mcq Single Correct1 Marksprincipal_values

Class 12 Maths · Inverse Trigonometric Functions · Mcq Single Correct #1

Evaluate \(\sin^{-1}(\cos(13\pi/5))\).

(A) \(-3\pi/5\)
(B) \(-\pi/10\)
(C) \(3\pi/5\)
(D) \(\pi/10\)

✅ Step-by-Step Solution

Final Answer: Option (B): \(-\pi/10\)

cos(13π/5)=cos(3π/5)=sin(−π/10). Since −π/10 lies in [−π/2,π/2], the value is −π/10.

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