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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