Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Question

Answer each of the following questions in one word or one sentence or as per exact requirement of the question: Write the value of .

Philoid · Accepted Answer

Given sin (π/3 – sin^-1 (-1/2))

We know that sin^-1 (-θ) = -sin^-1 θ

= sin (π/3 + sin^-1 (1/2) 0)

= sin (π/3 + π/6)

= sin (π/2)

= 1

∴ sin (π/3 – sin^-1 (-1/2)) = 1