Trigonometry Examples

\frac{2 π}{3}

$\frac{2 π}{3}$

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 π}{3}) \cdot \frac{180 °}{π}

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

Step 2

Cancel the common factor of

π

$π$ .

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Step 2.1

Factor

π

$π$ out of

2 π

$2 π$ .

\frac{π \cdot 2}{3} \cdot \frac{180}{π}

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$\frac{2}{3} \cdot 180$

$\frac{2}{3} \cdot 180$

Step 3

Cancel the common factor of

$3$ .

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Step 3.1

Factor

$3$ out of

$180$ .

$\frac{2}{3} \cdot (3 (60))$

Step 3.2

Cancel the common factor.

$\frac{2}{3} \cdot (3 \cdot 60)$

Step 3.3

Rewrite the expression.

$2 \cdot 60$

$2 \cdot 60$

Step 4

Multiply

$2$ by

$60$ .

$120$

Step 5

Convert to a decimal.

$120 °$

$\frac{2 π}{3}$

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