Trigonometry Examples

\frac{2}{3} rad

$\frac{2}{3} rad$

Step 1

To convert radians to degrees, multiply by

\frac{180}{π}

$\frac{180}{π}$ , since a full circle is

360 °

$360 °$ or

2 π

$2 π$ radians.

(\frac{2}{3}) \cdot \frac{180 °}{π}

$(\frac{2}{3}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Factor

3

$3$ out of

180

$180$ .

\frac{2}{3} \cdot \frac{3 (60)}{π}

$\frac{2}{3} \cdot \frac{3 (60)}{π}$

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$2 \cdot \frac{60}{π}$

$2 \cdot \frac{60}{π}$

Step 3

Combine

$2$ and

$\frac{60}{π}$ .

$\frac{2 \cdot 60}{π}$

Step 4

Multiply

$2$ by

$60$ .

$\frac{120}{π}$

Step 5

$π$ is approximately equal to

$3.14159265$ .

$\frac{120}{3.14159265}$

Step 6

Convert to a decimal.

$38.19718634 °$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$