Simplify sin(theta)^2cot(theta)csc(theta)

$\sin^{2} (θ) \cdot \cot (θ) \cdot \csc (θ)$

Step 1

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

$\sin^{2} (θ) \cdot \frac{\cos (θ)}{\sin (θ)} \cdot \csc (θ)$

Step 2

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

Factor $\sin (θ)$ out of $\sin^{2} (θ)$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

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

$\sin (θ) \cos (θ) \cdot \frac{1}{\sin (θ)}$

Step 4

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

Factor $\sin (θ)$ out of $\sin (θ) \cos (θ)$ .

$\sin (θ) (\cos (θ)) \cdot \frac{1}{\sin (θ)}$

Cancel the common factor.

$\sin (θ) \cos (θ) \cdot \frac{1}{\sin (θ)}$

Rewrite the expression.

$\cos (θ)$

Simplify sin(theta)^2*cot(theta)*csc(theta)