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JEE Mains · Maths · STD 11 - Trigonometrical equations
The number of solutions of the equation \(x +2 \tan x =\frac{\pi}{2}\) in the interval \([0,2 \pi]\) is :
- A \(3\)
- B \(4\)
- C \(2\)
- D \(5\)
Answer & Solution
Correct Answer
(A) \(3\)
Step-by-step Solution
Detailed explanation
\(x+2 \tan x=\frac{\pi}{2}\) \(\Rightarrow 2 \tan x=\frac{\pi}{2}-x\) \(\Rightarrow \tan x=-\frac{1}{2} x+\frac{\pi}{4}\) Number of soluitons of the given eauation is \('3'.\)
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