Докажи равенство 1) \tg \left(2 \arccos \dfrac{5}{\sqrt{26}} - \arctg \dfrac{12}{5}\right) = -\dfrac{119}{120}; 2) \tg \left(\dfrac{1}{2} \arccos \dfrac{3}{\sqrt{10}}\right) = \dfrac{\sqrt{6}-\sqrt{2}}{4}.

Задание

Докажи равенство

\(\tg \left(2 \arccos \dfrac{5}{\sqrt{26}} - \arctg \dfrac{12}{5}\right) = -\dfrac{119}{120}\) ;
\(\tg \left(\dfrac{1}{2} \arccos \dfrac{3}{\sqrt{10}}\right) = \dfrac{\sqrt{6}-\sqrt{2}}{4}\) .