AP EAMCET · Maths · Trigonometric Equations
Number of solutions of the trigonometric equation \(2 \tan 2 \theta-\cot 2 \theta+1=0\) lying in the interval \([0, \pi]\) is
- A 2
- B 3
- C 4
- D 5
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { } 2 \tan 2 \theta-\cot 2 \theta+1=0 \\ & \text { Let } \tan 2 \theta=x \Rightarrow 2 x-\frac{1}{x}+1=0 \\ & \Rightarrow 2 x^2+x-1=0 \Rightarrow x=-1, \frac{1}{2} \\ & \Rightarrow \tan 2 \theta=-1, \frac{1}{2}\end{aligned}\) \(\tan 2 \theta=-1\)…
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