# Solve the equation sin theta cot theta = cos theta

Question
Solve the equation $$\sin \theta \cot \theta = \cos \theta$$

2021-02-02
Let's work on the left side
Use the quotient identity for cotangent:
$$\cot \theta=\frac{\cos \theta}{\sin \theta}$$
$$\sin \theta \cot \theta=\sin \theta\times\frac{\cos \theta}{\sin \theta}$$
Cancel $$\sin \theta$$
$$\sin \theta \cot \theta=\cos \theta$$

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