Trigonometry Examples

$\frac{- \sqrt{3} - 3 - 1 - \sqrt{3}}{1 - 3}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Subtract $\sqrt{3}$ from $- \sqrt{3}$ .

$\frac{- 3 - 1 - 2 \sqrt{3}}{1 - 3}$

Step 1.2

Subtract $1$ from $- 3$ .

$\frac{- 4 - 2 \sqrt{3}}{1 - 3}$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Subtract $3$ from $1$ .

$\frac{- 4 - 2 \sqrt{3}}{- 2}$

Step 2.2

Cancel the common factor of $- 4 - 2 \sqrt{3}$ and $- 2$ .

Tap for more steps...

Step 2.2.1

Factor $2$ out of $- 4$ .

$\frac{2 (- 2) - 2 \sqrt{3}}{- 2}$

Step 2.2.2

Factor $2$ out of $- 2 \sqrt{3}$ .

$\frac{2 (- 2) + 2 (- \sqrt{3})}{- 2}$

Step 2.2.3

Factor $2$ out of $2 (- 2) + 2 (- \sqrt{3})$ .

$\frac{2 (- 2 - \sqrt{3})}{- 2}$

Step 2.2.4

Move the negative one from the denominator of $\frac{- 2 - \sqrt{3}}{- 1}$ .

$- 1 \cdot (- 2 - \sqrt{3})$

Step 2.3

Rewrite $- 1 \cdot (- 2 - \sqrt{3})$ as $- (- 2 - \sqrt{3})$ .

$- (- 2 - \sqrt{3})$

Step 2.4

Apply the distributive property.

$- - 2 - - \sqrt{3}$

Step 2.5

Multiply $- 1$ by $- 2$ .

$2 - - \sqrt{3}$

Step 3

Multiply $- - \sqrt{3}$ .

Tap for more steps...

Step 3.1

Multiply $- 1$ by $- 1$ .

$2 + 1 \sqrt{3}$

Step 3.2

Multiply $\sqrt{3}$ by $1$ .

$2 + \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 + \sqrt{3}$

Decimal Form:

$3.73205080 \dots$