Trigonometry Examples

$θ = \frac{23 π}{20}$

Step 1

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

$θ + \frac{23 π}{20 °} \cdot \frac{π}{180 °}$ radians

Step 2

Multiply $\frac{23 π}{20} \cdot \frac{π}{180}$ .

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Step 2.1

Multiply $\frac{23 π}{20}$ by $\frac{π}{180}$ .

$θ + \frac{23 π π}{20 \cdot 180}$ radians

Step 2.2

Raise $π$ to the power of $1$ .

$θ + \frac{23 (π π)}{20 \cdot 180}$ radians

Step 2.3

Raise $π$ to the power of $1$ .

$θ + \frac{23 (π π)}{20 \cdot 180}$ radians

Step 2.4

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

$θ + \frac{23 π^{1 + 1}}{20 \cdot 180}$ radians

Step 2.5

Add $1$ and $1$ .

$θ + \frac{23 π^{2}}{20 \cdot 180}$ radians

Step 2.6

Multiply $20$ by $180$ .

$θ + \frac{23 π^{2}}{3600}$ radians