Simplify sin(theta)cot(theta)csc(theta)

$\sin (θ) \cdot \cot (θ) \cdot \csc (θ)$

Rewrite in terms of sines and cosines, then cancel the common factors.

Reorder $\sin (θ)$ and $\cot (θ)$ .

$\cot (θ) \cdot \sin (θ) \cdot \csc (θ)$

Rewrite $\sin (θ) \cdot \cot (θ)$ in terms of sines and cosines.

$\frac{\cos (θ)}{\sin (θ)} \sin (θ) \cdot \csc (θ)$

Cancel the common factors.

$\cos (θ) \cdot \csc (θ)$

Rewrite $\csc (θ)$ in terms of sines and cosines.

$\cos (θ) \cdot \frac{1}{\sin (θ)}$

Combine $\cos (θ)$ and $\frac{1}{\sin (θ)}$ .

$\frac{\cos (θ)}{\sin (θ)}$

Convert from $\frac{\cos (θ)}{\sin (θ)}$ to $\cot (θ)$ .

$\cot (θ)$

Simplify sin(theta)*cot(theta)*csc(theta)