Trigonometry Examples

$4 π$

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 $4$ .

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Step 2.1

Factor $4$ out of $4 π$ .

$4 (π) \cdot \frac{π}{180}$ radians

Step 2.2

Factor $4$ out of $180$ .

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

Step 2.3

Cancel the common factor.

$4 π \cdot \frac{π}{4 \cdot 45}$ radians

Step 2.4

Rewrite the expression.

$π \cdot \frac{π}{45}$ radians

Step 3

Combine $π$ and $\frac{π}{45}$ .

$\frac{π π}{45}$ radians

Step 4

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

$\frac{π^{1 + 1}}{45}$ radians

Step 5

Add $1$ and $1$ .

$\frac{π^{2}}{45}$ radians