Trigonometry Examples

$9 (- \frac{1}{2} + \frac{\sqrt{3}}{2})$

Step 1

Combine the numerators over the common denominator.

$9 \frac{- 1 + \sqrt{3}}{2}$

Step 2

Combine $9$ and $\frac{- 1 + \sqrt{3}}{2}$ .

$\frac{9 (- 1 + \sqrt{3})}{2}$

Step 3

Rewrite $- 1$ as $- 1 (1)$ .

$\frac{9 (- 1 (1) + \sqrt{3})}{2}$

Step 4

Factor $- 1$ out of $\sqrt{3}$ .

$\frac{9 (- 1 (1) - 1 (- \sqrt{3}))}{2}$

Step 5

Factor $- 1$ out of $- 1 (1) - 1 (- \sqrt{3})$ .

$\frac{9 (- 1 (1 - \sqrt{3}))}{2}$

Step 6

Move the negative in front of the fraction.

$- \frac{9 (1 - \sqrt{3})}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{9 (1 - \sqrt{3})}{2}$

Decimal Form:

$3.29422863 \dots$