Prove that cot inverse (√1+sinx + √1-sinx)/√1+sinx - √1-sinx) = x/2

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Prove that Cot inverse (√1+Sinx + √1-Sinx)/(√1+Sinx - √1-Sinx) = x/2 Prove that Cot inverse (√1+Sinx + √1-Sinx)/(√1+Sinx - √1-Sinx) = x/2
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Prove that cot inverse {root (1+sin x) + root (1-sin x) upon root (1+sin x) - root(1-sin x)} is pi/2 Prove that cot inverse {root (1+sin x) + root (1-sin x) upon root (1+sin x) - root(1-sin x)} is pi/2