1+ (cos^4t+sin^2tcos^2t)/sin^2t=1/sin^2t

Question

1+ (cos^4t+sin^2tcos^2t)/sin^2t=1/sin^2t

Answer 1

1+ (cos^4t+sin^2tcos^2t)/sin^2t=1/sin^2t 1+ cos^2t(cos^2t+sin^2t)/sin^2t=1/sin^2t 1+ cos^2t/sin^2t=1/sin^2t (cos^2t+sin^2t)/sin^2t =1/sin^2t 1/sin^2t =1/sin^2t 1=1 тождество доказано.