Trigonometry Examples

$\sin^{2} (x) \cot (x) \csc (x)$

Step 1

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

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

Step 2

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

Tap for more steps...

Step 2.1

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$\sin (x) \cos (x) \csc (x)$

Step 3

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

$\sin (x) \cos (x) \frac{1}{\sin (x)}$

Step 4

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

Tap for more steps...

Step 4.1

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

$\sin (x) (\cos (x)) \frac{1}{\sin (x)}$

Step 4.2

Cancel the common factor.

$\sin (x) \cos (x) \frac{1}{\sin (x)}$

Step 4.3

Rewrite the expression.

$\cos (x)$