If

Question:

If $\frac{\pi}{2}

Solution:

If $\frac{\pi}{2}

Given $\sqrt{\frac{1+\sin x}{1-\sin x}}=k$ sec $x$

L.H.S $\sqrt{\frac{1+\sin x}{1-\sin x}}=\sqrt{\frac{1+\sin x}{1-\sin x} \times \frac{1+\sin x}{1+\sin x}}$     (By multiplying dividing by $1+\sin x$ )

$=\sqrt{\frac{(1+\sin x)}{1-\sin ^{2} x}}$ (correction)

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