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Prove that cot^(-1)((sqrt(1+sinx)+sqrt(...

Prove that `cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/(2), 0 lt x lt (pi)/(2), or x in (0, (pi)/(4))`.

Text Solution

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The correct Answer is:
`1/2`
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