AP EAMCET · Maths · Trigonometric Equations
If \(\cos \theta=\frac{\cos \alpha-\cos \beta}{1-\cos \alpha \cos \beta}\), then one of the values of \(\tan \frac{\theta}{2}\) is
- A \(\cot \frac{\beta}{2} \tan \frac{\alpha}{2}\)
- B \(\tan \alpha \tan \frac{\beta}{2}\)
- C \(\tan \frac{\beta}{2} \cot \frac{\alpha}{2}\)
- D \(\tan ^2 \frac{\alpha}{2} \tan ^2 \frac{\beta}{2}\)
Answer & Solution
Correct Answer
(A) \(\cot \frac{\beta}{2} \tan \frac{\alpha}{2}\)
Step-by-step Solution
Detailed explanation
We have, \(\cos \theta=\frac{\cos \alpha-\cos \beta}{1-\cos \alpha \cos \beta}\) Appling componendo and dividendo, we get…
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