# How to simplify sin x cot x?

So we can rewrite our problem as:

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To simplify ( \sin(x) \cot(x) ), use the identity ( \cot(x) = \frac{1}{\tan(x)} ), where ( \tan(x) = \frac{\sin(x)}{\cos(x)} ). Then, substitute this expression for ( \cot(x) ) in the original expression. After substitution, simplify the resulting expression by multiplying ( \sin(x) ) with the simplified form of ( \cot(x) ). This simplification yields ( \cos(x) ). Therefore, ( \sin(x) \cot(x) ) simplifies to ( \cos(x) ).

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