Trigonometry Examples

\frac{π}{4}

$\frac{π}{4}$

Step 1

To convert degrees to radians, multiply by

\frac{π}{180 °}

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

360 °

$360 °$ or

2 π

$2 π$ radians.

\frac{π}{4 °} \cdot \frac{π}{180 °}

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

Step 2

Multiply

\frac{π}{4} \cdot \frac{π}{180}

$\frac{π}{4} \cdot \frac{π}{180}$ .

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Step 2.1

Multiply

\frac{π}{4}

$\frac{π}{4}$ by

\frac{π}{180}

$\frac{π}{180}$ .

\frac{π π}{4 \cdot 180}

$\frac{π π}{4 \cdot 180}$ radians

Step 2.2

Raise

π

$π$ to the power of

1

$1$ .

\frac{π π}{4 \cdot 180}

$\frac{π π}{4 \cdot 180}$ radians

Step 2.3

Raise

π

$π$ to the power of

1

$1$ .

\frac{π π}{4 \cdot 180}

$\frac{π π}{4 \cdot 180}$ radians

Step 2.4

Use the power rule

a^{m} a^{n} = a^{m + n}

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

\frac{π^{1 + 1}}{4 \cdot 180}

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

Step 2.5

Add

1

$1$ and

1

$1$ .

\frac{π^{2}}{4 \cdot 180}

$\frac{π^{2}}{4 \cdot 180}$ radians

Step 2.6

Multiply

4

$4$ by

180

$180$ .

\frac{π^{2}}{720}

$\frac{π^{2}}{720}$ radians

\frac{π^{2}}{720}

$\frac{π^{2}}{720}$ radians

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

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