Trigonometry Examples

$\frac{23 π}{6}$

Step 1

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

$\frac{23 π}{6 °} \cdot \frac{π}{180 °}$ radians

Step 2

Multiply $\frac{23 π}{6} \cdot \frac{π}{180}$ .

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Step 2.1

Multiply $\frac{23 π}{6}$ by $\frac{π}{180}$ .

$\frac{23 π π}{6 \cdot 180}$ radians

Step 2.2

Raise $π$ to the power of $1$ .

$\frac{23 (π π)}{6 \cdot 180}$ radians

Step 2.3

Raise $π$ to the power of $1$ .

$\frac{23 (π π)}{6 \cdot 180}$ radians

Step 2.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{23 π^{1 + 1}}{6 \cdot 180}$ radians

Step 2.5

Add $1$ and $1$ .

$\frac{23 π^{2}}{6 \cdot 180}$ radians

Step 2.6

Multiply $6$ by $180$ .

$\frac{23 π^{2}}{1080}$ radians