Помогите докажите тождество Tg^2t-sin^2t= tg^2t*sin^2t

Question

Помогите докажите тождество
Tg^2t-sin^2t= tg^2t*sin^2t

Answer 1

Sin²t/cos²t -sin²t=sin²t(1-cos²t)/cos²t=sin²t/cos²t * sin²t=tg²t*sin²t
tg²t*sin²t=tg²t*sin²t