AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\tan \left(\frac{\pi}{4}+\alpha\right)=\tan ^3\left(\frac{\pi}{4}+\beta\right)\), then \(\tan (\alpha+\beta) \cot (\alpha-\beta)=\)
- A \(\sec ^2 2 \beta+\tan ^2 2 \beta\)
- B \(\operatorname{cosec}^2 2 \beta+\cot ^2 2 \beta\)
- C \(2\left(\sec ^2 2 \beta+\tan ^2 2 \beta\right)\)
- D \(4\left(\sec ^2 2 \beta+\tan ^2 2 \beta\right)\)
Answer & Solution
Correct Answer
(C) \(2\left(\sec ^2 2 \beta+\tan ^2 2 \beta\right)\)
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