Question

Упростите выражения sin^2t+ctg^2t*sin^2t . Помогите пожалуйста )

Answer 1

$sin^2t+ctg^2tcdot sin^2t=sin^2t(1+ctg^2t)=sin^2tcdot frac{1}{sin^2t}=1$

Answer 2

(sin(t))^2+(ctg(t))^2*(sin(t))^2=(sin(t))^2+(cos(t))^2*(sin(t))^2/(sin(t))^2=(sin(t))^2+(cos(t))^2=1