Trigonometry Examples

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

Step 1

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(- \frac{2 \sqrt{3}}{3}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{2 \sqrt{3}}{3}$ into the numerator.

$\frac{- 2 \sqrt{3}}{3} \cdot \frac{180}{π}$

Step 2.2

Factor $3$ out of $180$ .

$\frac{- 2 \sqrt{3}}{3} \cdot \frac{3 (60)}{π}$

Step 2.3

Cancel the common factor.

$\frac{- 2 \sqrt{3}}{3} \cdot \frac{3 \cdot 60}{π}$

Step 2.4

Rewrite the expression.

$- 2 \sqrt{3} \cdot \frac{60}{π}$

Step 3

Combine $\frac{60}{π}$ and $- 2$ .

$\frac{60 \cdot - 2}{π} \sqrt{3}$

Step 4

Multiply $60$ by $- 2$ .

$\frac{- 120}{π} \sqrt{3}$

Step 5

Combine $\frac{- 120}{π}$ and $\sqrt{3}$ .

$\frac{- 120 \sqrt{3}}{π}$

Step 6

Move the negative in front of the fraction.

$- \frac{120 \sqrt{3}}{π}$

Step 7

$π$ is approximately equal to $3.14159265$ .

$- \frac{120 \sqrt{3}}{3.14159265}$

Step 8

Convert to a decimal.

$- 66.15946745 °$