JEE Advanced 2015 Paper 2 Mathematics Q15

Mathematics

Problem

Let f(x)=7tan⁡8x+7tan⁡6x−3tan⁡4x−3tan⁡2xf(x)=7\tan^8x+7\tan^6x-3\tan^4x-3\tan^2x for all x∈(−π2,π2)x\in\left(-\dfrac\pi2,\dfrac\pi2\right). Then the correct expression(s) is(are)

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