Question

16 БАЛЛОВ!!!!!!!!!!!!!!
Упростить выражение
tg²α - cos²α · tg²α

Answer 1

$tg^{2}\alpha-Cos^{2}\alpha*tg^{2}\alpha =tg^{2}\alpha (1-Cos^{2}\alpha)=\frac{Sin^{2}\alpha}{Cos^{2}\alpha}*Sin^{2}\alpha=\frac{Sin^{4}\alpha}{Cos^{2}\alpha}$