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If , prove that
If $\cos^{-1} \frac{x}{a} + \cos^{-1} \frac{y}{b} = \alpha$, prove that $\frac{x^2}{a^2} - \frac{2xy}{ab} \cos \alpha + \frac{y^2}{b^2} = \sin^2 \alpha$
Given: $\cos^{-1} \frac{x}{a} + \cos^{-1} \frac{y}{b} = \alpha$
To show: $\frac{x^2}{a^2} - \frac{2xy}{ab} \cos \alpha + \frac{y^2}{b^2} = \sin^2 \alpha$
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From ISC 2023 Specimen Mathematics Paper 1, question 7.