TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(\tan \theta_1=k \cot \theta_2\), then \(\frac{\cos \left(\theta_1+\theta_2\right)}{\cos \left(\theta_1-\theta_2\right)}=\)
- A \(\frac{1+k}{1-k}\)
- B \(\frac{1-k}{1+k}\)
- C \(\frac{k+1}{k-1}\)
- D \(\frac{k-1}{k+1}\)
Answer & Solution
Correct Answer
(B) \(\frac{1-k}{1+k}\)
Step-by-step Solution
Detailed explanation
We have, \(\tan \theta_1=k \cot \theta_2\) \(\Rightarrow \quad \tan \theta_1 \tan \theta_2=k\) Consider,…
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