Помощ с две задачи

[Гост]

Може ли решения на задачи 299 и 300?

[Nathi123]

зад. 300 [tex]tg\alpha = \frac{3}{4} = \frac{sin\alpha}{cos\alpha}\Rightarrow sin\alpha =3x; cos\alpha = 4x ; sin^{2}\alpha+cos^{2}\alpha = 1 \Rightarrow[/tex]
[tex]9x^{2}+16x^{2}=1\Leftrightarrow 25x^{2}=1\Leftrightarrow x=\frac{1}{5}\Rightarrow sin\alpha = \frac{3}{5} ; cos\alpha = \frac{4}{5}[/tex]
[tex]sin\alpha =\frac{a}{c} = \frac{3}{5}\Rightarrow a=6; cos\alpha =\frac{b}{c}=\frac{4}{5}\Rightarrow b=8[/tex]

[Гост]

зад. 300 [tex]tg\alpha = \frac{3}{4} = \frac{sin\alpha}{cos\alpha}\Rightarrow sin\alpha =3x; cos\alpha = 4x ; sin^{2}\alpha+cos^{2}\alpha = 1 \Rightarrow[/tex]
[tex]9x^{2}+16x^{2}=1\Leftrightarrow 25x^{2}=1\Leftrightarrow x=\frac{1}{5}\Rightarrow sin\alpha = \frac{3}{5} ; cos\alpha = \frac{4}{5}[/tex]
[tex]sin\alpha =\frac{a}{c} = \frac{3}{5}\Rightarrow a=6; cos\alpha =\frac{b}{c}=\frac{4}{5}\Rightarrow b=8[/tex]

Благодаря! Може ли помощ и със задача 299?