If , and , then prove…

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

Problem

If asin⁡2x+bcos⁡2x=ca \sin^2 x + b \cos^2 x = c , bsin⁡2y+acos⁡2y=db \sin^2 y + a \cos^2 y = d and atan⁡x=btan⁡ya \tan x = b \tan y , then prove that a2b2=(d−a)(c−a)(b−c)(b−d)\frac{a^2}{b^2} = \frac{(d-a)(c-a)}{(b-c)(b-d)}

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