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Question Number 187376 by Rupesh123 last updated on 16/Feb/23

Answered by Frix last updated on 17/Feb/23

$$xy=-\frac{1}{3}$$$$x+y=\frac{1}{2}\sqrt{1-x^2}\sqrt{1-y^2}$$$$\mathrm{Solve}\mathrm{this}\left[\mathrm{which}\mathrm{is}\mathrm{easy}\right]\Rightarrow$$$$\alpha ={\sin }^{-1}\frac{\sqrt{5}}{3}\approx 48.19°$$$$\beta =\frac{\pi }{2}+{\sin }^{-1}\frac{\sqrt{5}}{5}\approx 116.57°$$

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