AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\sin (\alpha+\beta)=5 \sin (\alpha-\beta)\), then \(\frac{\sin 2 \beta}{5-\cos 2 \beta}=\)
- A \(\tan (\alpha+\beta)\)
- B \(\cot (\alpha+\beta)\)
- C \(\cot (\alpha-\beta)\)
- D \(\tan (\alpha-\beta)\)
Answer & Solution
Correct Answer
(D) \(\tan (\alpha-\beta)\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { } \sin (\alpha+\beta)=5 \sin (\alpha-\beta) \\ & \Rightarrow \sin \alpha \cdot \cos \beta+\cos \alpha \cdot \sin \beta\end{aligned}\)…
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