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Prove that tan(3π/4 - 1/4sin^-1(-4/5)) = (1 - √5)/2

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Prove that tan(3π/4 - 1/4sin-1(-4/5)) = (1 - √5)/2

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Let 1/4sin-1(-4/5) = θ

⇒ sin-1(-4/5) = 4θ

⇒ sin(4θ) = - 4/5

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