Question

sin(π/3−sin⁻¹(−1/2)) is equal to

(A) 1/2       (B) 1/3      (C) 1/4       (D) 1

Answer 1

=sin[π/3−sin⁻¹{sin(−π/6)}]=sin(π/3+π/6)=sin(3π/6)=sinπ/2=1

Hence, sin(π/3−sin⁻¹(−1/2))=1

The correct answer is D.