Question:medium

Number of solutions of the equation \( \tan^2 x + 3\cot^2 x = 2\sec^2 x \) lying in the interval \( [0, 2\pi] \) is

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When solving trigonometric equations, a good first step is to use identities to express the equation in terms of a single trigonometric function. Substituting a variable (like \(y = \tan^2 x\)) can make the underlying algebraic structure (often a quadratic) easier to see and solve.

Updated On: Mar 30, 2026

3
4
5
6

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The Correct Option is B

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