WBJEE · Maths · Trigonometric Equations
Number of solutions of the equation \(\tan x+\sec x=2 \cos x, x \in[0, \pi]\) is
- A 0
- B 1
- C 2
- D 3
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
\(\tan x+\sec x=2 \cos x\) \(\Rightarrow \quad \frac{\sin x}{\cos x}+\frac{1}{\cos x}=2 \cos x\) \(\Rightarrow \quad \sin x+1=2 \cos ^{2} x=2\left(1-\sin ^{2} x\right)\) \(=2-2 \sin ^{2} x\) \(\Rightarrow \quad 2 \sin ^{2} x+\sin x-1=0\)…
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