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

What is the principal value of ?

Given sin^{-1} (-√3/2)

We know that sin^{-1} (-θ) = -sin^{-1} (θ)

= - sin^{-1} (√3/2)

= -π/3

∴ sin^{-1} (-√3/2) = -π/3

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