1.

Evaluate: \(sin^{-1}(sin\frac{3\pi}{5})\).

Answer»

Given sin-1 (sin 3π/5) 

We know that sin-1 (sin θ) = π – θ, if θ ∈ [π/2, 3π/2] 

= π – 3π/5 

= 2π/5 

∴ sin-1 (sin 3π/5) = 2π/5



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