WBJEE · Maths · Trigonometric Equations
If \(\cot \frac{2 x}{3}+\tan \frac{x}{3}=\operatorname{cosec} \frac{k x}{3},\) then the value of \(k\) is
- A 1
- B 2
- C 3
- D -1
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
Given, \(\cot \frac{2 x}{3}+\tan \frac{x}{3}=\operatorname{cosec} \frac{k x}{3}\) Let \(\theta=\frac{x}{3},\) then \(\therefore \quad \cot 2 \theta+\tan \theta=\operatorname{cosec} k \theta\)…
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