JEE Advanced 2017 Paper 2 Mathematics Q12

Mathematics

Problem

If f(x)=∣cos⁡(2x)cos⁡(2x)sin⁡(2x)−cos⁡xcos⁡x−sin⁡xsin⁡xsin⁡xcos⁡x∣f(x)=\begin{vmatrix}\cos(2x)&\cos(2x)&\sin(2x)\\-\cos x&\cos x&-\sin x\\\sin x&\sin x&\cos x\end{vmatrix}, then

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