Verify the Identity sin(x)cot(x)=cos(x)

$\sin (x) \cot (x) = \cos (x)$

Start on the left side.

$\sin (x) \cot (x)$

Write $\cot (x)$ in sines and cosines using the quotient identity.

$\sin (x) \frac{\cos (x)}{\sin (x)}$

Cancel the common factor of $\sin (x)$ .

$\cos (x)$

Because the two sides have been shown to be equivalent, the equation is an identity.

$\sin (x) \cot (x) = \cos (x)$ is an identity

Verify the Identity sin(x)cot(x)=cos(x)

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