Trigonometry Examples

$\frac{π}{6}$

Step 1

To convert degrees to radians, multiply by

$\frac{π}{180 °}$ , since a full circle is

$360 °$ or

$2 π$ radians.

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

Step 2

Multiply

$\frac{π}{6} \cdot \frac{π}{180}$ .

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Step 2.1

Multiply

$\frac{π}{6}$ by

$\frac{π}{180}$ .

$\frac{π π}{6 \cdot 180}$ radians

Step 2.2

Raise

$π$ to the power of

$1$ .

$\frac{π π}{6 \cdot 180}$ radians

Step 2.3

Raise

$π$ to the power of

$1$ .

$\frac{π π}{6 \cdot 180}$ radians

Step 2.4

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 2.5

Add

$1$ and

$1$ .

$\frac{π^{2}}{6 \cdot 180}$ radians

Step 2.6

Multiply

$6$ by

$180$ .

$\frac{π^{2}}{1080}$ radians

$\frac{π^{2}}{1080}$ radians

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$