Statement I: If ,

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Statement I: If 2sin⁡2x−cos⁡2x=12\sin 2x-\cos 2x=1, x≠(2n+1)π2x\ne\frac{(2n+1)\pi}{2}, where nn is an integer, then sin⁡2x+cos⁡2x=15\sin 2x+\cos 2x=\frac{1}{5}. Statement II: sin⁡2x+cos⁡2x=1+2tan⁡x−tan⁡2x1+tan⁡2x\sin 2x+\cos 2x=\frac{1+2\tan x-\tan^2x}{1+\tan^2x}.

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