What are we doing?
Solving ?
or
proving it is an identity?
BTW, you have to put the x for all the trig functions
that is,
cosx cotx = cscx - sinx
Let's see if it is an identity...
LS = cosx (cosx/sinx
= cos^2 x/sinx
RS = 1/sinx - sinx
= (1 - sin^2 x)/sin
= cos^2 x/sinx
= LS
ahh, it is an identity
cos x cot = csc - sin
2 answers
Cos (cos/sin)= cos^2/sin = (1 - sin^2x)/sin
1/sin sin^2/sin = csc x sin x
1/sin sin^2/sin = csc x sin x