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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