Answer
See explanations.
Work Step by Step
Step 1. $LHS=cos(x)(\frac{1}{sin(x)})=\frac{cos(x)}{sin(x)}$
Step 2. $RHS=cot(x)=\frac{cos(x)}{sin(x)}$
Step 3. Since $LHS=RHS$, we verified the identity.
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