Class 12 Inverse Trigonometric Functions · Mcq Single Correct1 Marksprincipal_values
Class 12 Maths · Inverse Trigonometric Functions · Mcq Single Correct #3
Evaluate \(\sin[\pi/2-\sin^{-1}(-1/2)]\).
(A) \(1/2\)
(B) \(1/3\)
(C) \(-1\)
(D) \(\sqrt3/2\)
✅ Step-by-Step Solution
Final Answer: Option (D): \(\sqrt3/2\)
The printed question contains π/2, while its selected solution works with π/3. For the actual question, arcsin(−1/2)=−π/6 and sin(π/2+π/6)=sin(2π/3)=√3/2.
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