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If cos^(-1).(x)/(2) + cos^(-1).(y)/(3) =...

If `cos^(-1).(x)/(2) + cos^(-1).(y)/(3) = (pi)/(6)`, then prove that `(x^(2))/(4) - (xy)/(2sqrt3) + (y^(2))/(9) = (1)/(4)`

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To solve the equation \( \cos^{-1}\left(\frac{x}{2}\right) + \cos^{-1}\left(\frac{y}{3}\right) = \frac{\pi}{6} \) and prove that \[ \frac{x^2}{4} - \frac{xy}{2\sqrt{3}} + \frac{y^2}{9} = \frac{1}{4}, \] we will follow these steps: ...
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