Докажите тождество ctg t * sin^2t=(tg t+ctg t)^-1

Question

Докажите тождество ctg t * sin^2t=(tg t+ctg t)^-1

Answer 1

..........................................................................

Answer 2

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