Задание

Вычисли

\(1)\) \(\sin \alpha\) , \(\cos \alpha\) , \(\tg \alpha\) , если \(\tg \dfrac{\alpha}{2}=\dfrac{1}{3}\) , \({0 \lt \alpha \lt \dfrac{\pi}{2}}\) ;

\(2)\) \(\sin \alpha\) , \(\cos \alpha\) , \(\tg \alpha\) , если \(\tg \dfrac{\alpha}{2}=5\) , \({\dfrac{\pi}{2} \lt \alpha \lt \pi}\) .

Ответ:

\(1)\) \(\sin \alpha =\) [ ],

\(\cos \alpha =\) [ ],

\(\tg \alpha\) [ ];

\(2)\) \(\sin \alpha =\) [ ],

\(\cos \alpha =\) [ ],

\(\tg \alpha\) [ ].