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If asin^2x+bcos^2x=c,bsin^2y+acos^2y=d,a...

If `asin^2x+bcos^2x=c,bsin^2y+acos^2y=d,and atanx=btany`, then prove that `a^2/b^2=((d-a)(c-a))/((b-c)(b-d))`.

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