Trigonometry Examples

\frac{π}{8}

$\frac{π}{8}$ radianes

Step 1

To convert radians to degrees, multiply by

\frac{180}{π}

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

360 °

$360 °$ or

2 π

$2 π$ radians.

(\frac{π}{8}) \cdot \frac{180 °}{π}

$(\frac{π}{8}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of

π

$π$ .

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Step 2.1

Cancel the common factor.

\frac{π}{8} \cdot \frac{180}{π}

$\frac{π}{8} \cdot \frac{180}{π}$

Step 2.2

Rewrite the expression.

\frac{1}{8} \cdot 180

$\frac{1}{8} \cdot 180$

\frac{1}{8} \cdot 180

$\frac{1}{8} \cdot 180$

Step 3

Cancel the common factor of

4

$4$ .

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Step 3.1

Factor

4

$4$ out of

8

$8$ .

\frac{1}{4 (2)} \cdot 180

$\frac{1}{4 (2)} \cdot 180$

Step 3.2

Factor

4

$4$ out of

180

$180$ .

\frac{1}{4 \cdot 2} \cdot (4 \cdot 45)

$\frac{1}{4 \cdot 2} \cdot (4 \cdot 45)$

Step 3.3

Cancel the common factor.

\frac{1}{4 \cdot 2} \cdot (4 \cdot 45)

$\frac{1}{4 \cdot 2} \cdot (4 \cdot 45)$

Step 3.4

Rewrite the expression.

\frac{1}{2} \cdot 45

$\frac{1}{2} \cdot 45$

\frac{1}{2} \cdot 45

$\frac{1}{2} \cdot 45$

Step 4

Combine

\frac{1}{2}

$\frac{1}{2}$ and

45

$45$ .

\frac{45}{2}

$\frac{45}{2}$

Step 5

Convert to a decimal.

22.5 °

$22.5 °$

\frac{π}{8}

$\frac{π}{8}$ radianes

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

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