Obliczam sinα
[tex]sin^2\alpha+cos^2\alpha=1\\\\sin^2\alpha+0,2^2=1\\\\sin^2\alpha+0,04=1\\\\sin^2\alpha=1-0,04\\\\sin^2\alpha=0,96\\\\sin\alpha=\sqrt{0,96}\\\\sin\alpha=\sqrt{\frac{96}{100}}\\\\sin\alpha=\frac{\sqrt{96}}{100}\\\\sin\alpha=\frac{4\sqrt{6}}{10}\\\\sin\alpha=\frac{2\sqrt{6}}{5}[/tex]
Obliczam sinβ
[tex]\frac{a}{sin\alpha}=\frac{b}{sin\beta}\\\\\frac{5}{\frac{2\sqrt6}{5} }=\frac{8}{sin\beta}\\\\\frac{25}{2\sqrt6 }=\frac{8}{sin\beta}\\\\sin\beta=\frac{16\sqrt6}{25}>1[/tex]
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