TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(\tan \alpha=2 \sin \beta \sin \gamma \operatorname{cosec}(\beta+\gamma)\), then
- A \(\cot \beta, \cot \alpha, \cot \gamma\) are in harmonic progression
- B \(\tan \gamma, \tan \alpha, \tan \beta\) are in harmonic progression
- C \(\cot \alpha, \cot \beta, \cot \gamma\) are in arithmetic progression
- D \(\tan \alpha_{,} \tan \beta, \tan \gamma\) are in arithmetic progression
Answer & Solution
Correct Answer
(B) \(\tan \gamma, \tan \alpha, \tan \beta\) are in harmonic progression
Step-by-step Solution
Detailed explanation
We have, \(\tan \alpha=2 \sin \beta \sin \gamma \operatorname{cosec}(\beta+\gamma)\)…
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