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If cos ^(-1) .(x)/(a)+ cos ^(-1). (y)/(...

If `cos ^(-1) .(x)/(a)+ cos ^(-1). (y)/(b) = theta` then prove that
`(x^(2))/(a^(2)) -(2xy)/(ab) . cos theta+ (y^(2))/(b^(2)) = sin ^(2) theta`.

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To prove that \[ \frac{x^2}{a^2} - \frac{2xy}{ab} \cos \theta + \frac{y^2}{b^2} = \sin^2 \theta \] given that ...
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