Question

Упростите:
$\frac{ \sin(2 \alpha ) }{ 1 + \cos(2 \alpha ) }$
​

Answer 1

Ответ: tgα

Объяснение:

$\displaystyle \frac{\sin2\alpha}{1+\cos2\alpha}=\frac{2\sin\alpha\cos\alpha}{1+2\cos^2\alpha-1}=\frac{2\sin\alpha\cos\alpha}{2\cos^2\alpha}=\frac{\sin\alpha}{\cos\alpha}={\rm tg}\,\alpha$