Question:medium

Let \[ f(x) = \begin{vmatrix} \sin 3x & 1 & 2\left(\cos \frac{3x}{2} + \sin \frac{3x}{2}\right)^2 \cos 3x & -1 & 2\left(\cos \frac{3x}{2} - \sin \frac{3x}{2}\right)^2 \tan 3x & 4 & 1 + 2\tan 3x \end{vmatrix} \] Then \(f(x)\) is equal to

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If two columns become proportional or identical, determinant simplifies heavily.

Updated On: Apr 16, 2026

0
1
constant
none of these

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The Correct Option is C

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