Question

Ребят помогите решить с объяснением

Answer 1

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

Что и требовалось доказать