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AP EAMCET · Maths · Trigonometric Ratios & Identities

\(\frac{\cot A}{1-\tan A}+\frac{\tan A}{1-\cot A}=\)

  1. A \(\tan \mathrm{A}+\cot \mathrm{A}\)
  2. B \(\sec \mathrm{A}+\operatorname{cosec} \mathrm{A}\)
  3. C \(\sin A \cos A+1\)
  4. D \(\sec A \operatorname{cosec} A+1\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\sec A \operatorname{cosec} A+1\)

Step-by-step Solution

Detailed explanation

Since, \(\frac{\cot A}{1-\tan A}+\frac{\tan A}{1-\cot A}\)…