Trigonometry Examples

72 °

$72 °$

Step 1

To convert degrees to radians, multiply by

\frac{π}{180 °}

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

360 °

$360 °$ or

2 π

$2 π$ radians.

72 ° \cdot \frac{π}{180 °}

$72 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

36

$36$ .

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Step 2.1

Factor

36

$36$ out of

72

$72$ .

36 (2) \cdot \frac{π}{180}

$36 (2) \cdot \frac{π}{180}$ radians

Step 2.2

Factor

36

$36$ out of

180

$180$ .

36 \cdot 2 \cdot \frac{π}{36 \cdot 5}

$36 \cdot 2 \cdot \frac{π}{36 \cdot 5}$ radians

Step 2.3

Cancel the common factor.

$36 \cdot 2 \cdot \frac{π}{36 \cdot 5}$ radians

Step 2.4

Rewrite the expression.

$2 \cdot \frac{π}{5}$ radians

$2 \cdot \frac{π}{5}$ radians

Step 3

Combine

$2$ and

$\frac{π}{5}$ .

$\frac{2 π}{5}$ radians

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