tg(arcsin0,2)=?
Пусть arcsin0,2=t,
тогда sint=0,2
Находим cost и tgt:
[tex]cost=\sqrt{1-sin^2t}=\sqrt{1-0,2^2}=\sqrt{0,96}=\sqrt{\frac{96}{100}}=\frac{4\sqrt{6}}{10}=\frac{2\sqrt{6}}{5}[/tex]
[tex]tgt=\frac{sint}{cost}=\frac{0,2}{\frac{2\sqrt{6}}{5}}=\frac{1}{2\sqrt{6}}=\frac{\sqrt{6}}{12}[/tex]
Значит, [tex]tg(arcsin0,2)=\frac{\sqrt{6}}{12}[/tex]
