Hey

Prove: cos(x)/ 1-tan(x) + sin(x)/ 1-cot(x) = sin(x) + cos(x)

i subbed 1-tan(x)= sin(x)/cos(x)

and cot(x) = cos(x)/sin(x)

so i divided it and times it all out

and i get to this stage

1/ 2cos(x)sin(x)-cos^2(x)-sin^2(x) and didnt knwo what to do

Thanks