TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(m \cos (\alpha+\beta)-n \cos (\alpha-\beta)=m \cos (\alpha-\beta)+n \cos (\alpha+\beta)\) then \(\tan \alpha \tan \beta=\)
- A \(m+n\)
- B \(m-n\)
- C \(-\frac{n}{m}\)
- D \(\frac{m}{n}\)
Answer & Solution
Correct Answer
(C) \(-\frac{n}{m}\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Given } m \cos (\alpha+\beta)-n \cos (\alpha-\beta) \\ & =m \cos (\alpha-\beta)+n \cos (\alpha+\beta)\end{aligned}\)…
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