Answer
Please refer to the step-by-step part below for the solution.
Work Step by Step
RECALL:
$\cot{\theta} = \dfrac{\cos{\theta}}{\sin{\theta}}$
Thus, the left side of the equation is equivalent to:
$\require{cancel}
\sin{\theta} \cot{\theta}$
$\\=\sin{\theta} \cdot \dfrac{\cos{\theta}}{\sin{\theta}}
\\=\cancel{\sin{\theta}} \cdot \dfrac{\cos{\theta}}{\cancel{\sin{\theta}}}
\\=\cos{\theta}$
Therefore,
$\sin{\theta}\cot{\theta} = \cos{\theta}$
