Trigonometry Examples

$(\tan (x)) (1 - \cot (x))$

Step 1

Apply the distributive property.

$\tan (x) \cdot 1 + \tan (x) (- \cot (x))$

Step 2

Multiply $\tan (x)$ by $1$ .

$\tan (x) + \tan (x) (- \cot (x))$

Step 3

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

Tap for more steps...

Step 3.1

Reorder $\tan (x)$ and $- \cot (x)$ .

$\tan (x) - \cot (x) \tan (x)$

Step 3.2

Add parentheses.

$\tan (x) - (\cot (x) \tan (x))$

Step 3.3

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

$\tan (x) - (\frac{\cos (x)}{\sin (x)} \cdot \frac{\sin (x)}{\cos (x)})$

Step 3.4

Cancel the common factors.

$\tan (x) - 1 \cdot 1$

Step 4

Multiply $- 1$ by $1$ .

$\tan (x) - 1$