1.

Write the value of sin-1 (cos \(\frac{\pi}9\)).

Answer»

Given sin-1 (cos π/9)

We know that cos θ = sin (π/2 – θ)

= sin-1 (sin (π/2 - π/9))

= sin-1 (sin 7π/18)

We know that sin-1 (sin θ) = θ = 7π/18

∴ sin-1 (cos π/9) = 7π/18



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