Question 970143
Sinx+ cosxcotx=cscx 

sin x + cos x*(cos x/sin x)= 1/sin x   Put everything in terms of sin x, cos x.  Cot x=cos x/sin x

Now put left side over common denominator of sin x

[(sin x * sin x) +cos^2 x]/sin x= 1/ sin x

(sin^2 x +cos ^2 x)/sin x  = 1/sin x

But sin^2x + cos^2 x =1

Therefore 1/sin x = 1/ sin x