The least positive value of satisfying is

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

The least positive value of xx satisfying sin⁡22x+4sin⁡4x−4sin⁡2xcos⁡2x4−sin⁡22x−4sin⁡2x=19\frac{\sin^2 2x+4\sin^4x-4\sin^2x\cos^2x}{4-\sin^2 2x-4\sin^2x}=\frac19 is (1) π/3\pi/3 (2) π/6\pi/6 (3) 2π/32\pi/3 (4) 5π/65\pi/6

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