Q. 15.0( 3 Votes )

# Answer each of th

Answer :

Let sin-1 (-√3 /2) = x and cos-1 (-1/2) = y

sin x = (-√3/ 2) and cos y = -1/2

We know that the range of the principal value branch of sin-1 is (-π/2, π/2) and cos-1 is (0, π).

We also know that sin (-π/ 3) = (-√3/ 2) and cos (2π/3) = -1/2

Value of sin-1 (-√3 /2) + cos-1 (-1/2) = -π/3 + 2π/3

= π/3

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