If and are positive acute angles such that and satisfy the equation

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

Problem

If xx and yy are positive acute angles such that (x+y)(x+y) and (x−y)(x-y) satisfy the equation tan⁡2θ−4tan⁡θ+1=0\tan^2\theta-4\tan\theta+1=0, then (1) x=π6x=\frac{\pi}{6} (2) y=π4y=\frac{\pi}{4} (3) y=π6y=\frac{\pi}{6} (4) x=π4x=\frac{\pi}{4}

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