Question:
If \( \frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A} = \):
If \( \frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A} = \):
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When simplifying trigonometric expressions, use standard identities and common denominators to combine terms.
Updated On: May 15, 2025
- \( \sec A \csc A - 1 \)
- \( \tan A + \cot A \)
- \( \tan A + \cot A + 1 \)
- \( \sec A + \csc A + 1 \)
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The Correct Option is C
Solution and Explanation
We are given the equation \( \frac{\tan A}{1 - \cot A} + \frac{\cot A}{1 - \tan A} \). By simplifying the terms using trigonometric identities, we find that the expression simplifies to \( \tan A + \cot A + 1 \).
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