Question

If \( 0^\circ < A < 90^\circ \), then simplify \( \sqrt{\frac{1+\sin A}{1-\sin A}} \) “‘latex id="76r4p8"

• A. \( \sec A + \tan A \)
• B. \( \sin A + \tan A \)
• C. \( \sec A + \cos A \)
• D. \( \cot A + \tan A \)

Hint:

If you see \( \sqrt{\frac{1+\sin A}{1-\sin A}} \), immediately try converting denominator using \(1-\sin^2 A = \cos^2 A\). This is a standard JEE/board-level identity pattern.

Answer 1

The Correct Option is A