Trigonometry Examples

\frac{π}{3}

$\frac{π}{3}$

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{π}{3}) \cdot \frac{180 °}{π}

$(\frac{π}{3}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of

π

$π$ .

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Step 2.1

Cancel the common factor.

\frac{π}{3} \cdot \frac{180}{π}

$\frac{π}{3} \cdot \frac{180}{π}$

Step 2.2

Rewrite the expression.

\frac{1}{3} \cdot 180

$\frac{1}{3} \cdot 180$

\frac{1}{3} \cdot 180

$\frac{1}{3} \cdot 180$

Step 3

Cancel the common factor of

3

$3$ .

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Step 3.1

Factor

3

$3$ out of

180

$180$ .

\frac{1}{3} \cdot (3 (60))

$\frac{1}{3} \cdot (3 (60))$

Step 3.2

Cancel the common factor.

\frac{1}{3} \cdot (3 \cdot 60)

$\frac{1}{3} \cdot (3 \cdot 60)$

Step 3.3

Rewrite the expression.

60

$60$

60

$60$

Step 4

Convert to a decimal.

60 °

$60 °$

\frac{π}{3}

$\frac{π}{3}$

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

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