Answer
See below.
Work Step by Step
1. $f(x)=cos(x)\cdot cot(x)=cos(x)(\frac{cos(x)}{sin(x)})=\frac{cos^2(x)}{sin(x)}$
2. $g(x)=csc(x)-sin(x)=\frac{1}{sin(x)}-sin(x)=\frac{1-sin^2(x)}{sin(x)}=\frac{cos^2(x)}{sin(x)}$
3. Thus $f(x)=g(x)$
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