Trigonometry Examples

$180^{O}$

Step 1

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

$180^{O} \cdot \frac{π}{180 °}$ radians

Step 2

Combine $180^{O}$ and $\frac{π}{180}$ .

$\frac{180^{O} π}{180}$ radians

Step 3

Cancel the common factor of $180^{O}$ and $180$ .

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Step 3.1

Factor $180$ out of $180^{O} π$ .

$\frac{180 (180^{O - 1} π)}{180}$ radians

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $180$ out of $180$ .

$\frac{180 (180^{O - 1} π)}{180 (1)}$ radians

Step 3.2.2

Cancel the common factor.

$\frac{180 (180^{O - 1} π)}{180 \cdot 1}$ radians

Step 3.2.3

Rewrite the expression.

$\frac{180^{O - 1} π}{1}$ radians

Step 3.2.4

Divide $180^{O - 1} π$ by $1$ .

$180^{O - 1} π$ radians

Step 4

Reorder factors in $180^{O - 1} π$ .

$π \cdot 180^{O - 1}$ radians