Trigonometry Examples

$45 (\frac{π}{180})$

Step 1

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

Step 2

Cancel the common factor of $45$ .

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Step 2.1

Factor $45$ out of $180$ .

$45 (\frac{π}{180}) \cdot \frac{π}{45 (4)}$ radians

Step 2.2

Cancel the common factor.

$45 (\frac{π}{180}) \cdot \frac{π}{45 \cdot 4}$ radians

Step 2.3

Rewrite the expression.

$\frac{π}{180} \cdot \frac{π}{4}$ radians

Step 3

Multiply $\frac{π}{180}$ by $\frac{π}{4}$ .

$\frac{π π}{180 \cdot 4}$ radians

Step 4

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

$\frac{π^{1 + 1}}{180 \cdot 4}$ radians

Step 5

Add $1$ and $1$ .

$\frac{π^{2}}{180 \cdot 4}$ radians

Step 6

Multiply $180$ by $4$ .

$\frac{π^{2}}{720}$ radians