verify the identities in good form. show the steps csc theta - sin theta = cot theta cos theta?

rhs 
= cot(x) cos(x)
= cos(x)/sin(x) * cos(x)
= cos^2(x)/sin(x)
= (1-sin^2(x))/sin(x)
= 1/sin(x) - sin(x)
= csc(x) - sin(x)
= lhsOr do it from lhs to rhs (the steps above in opposite order)...Show more

See attached for step by step proof....Show more