Question:medium

If \( 0 \le A, B \le \frac{\pi}{4} \) and \( \cot A + \cot B + \tan A + \tan B = \cot A \cot B - \tan A \tan B \) then \( \sin(A+B) = \)

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When an equation involves a mix of all four trigonometric functions (sin, cos, tan, cot), converting everything to sine and cosine is a reliable strategy. Look for opportunities to apply sum and difference formulas like \( \sin(A\pm B) \) and \( \cos(A\pm B) \).

Updated On: Mar 30, 2026

0
\( \frac{1}{2} \)
\( \frac{1}{\sqrt{2}} \)
\( \frac{\sqrt{3}}{2} \)

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The Correct Option is C

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