Trigonometry Examples

\frac{11 π}{6}

$\frac{11 π}{6}$

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{11 π}{6}) \cdot \frac{180 °}{π}

$(\frac{11 π}{6}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of

π

$π$ .

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Step 2.1

Factor

π

$π$ out of

11 π

$11 π$ .

\frac{π \cdot 11}{6} \cdot \frac{180}{π}

$\frac{π \cdot 11}{6} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

\frac{π \cdot 11}{6} \cdot \frac{180}{π}

$\frac{π \cdot 11}{6} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

\frac{11}{6} \cdot 180

$\frac{11}{6} \cdot 180$

\frac{11}{6} \cdot 180

$\frac{11}{6} \cdot 180$

Step 3

Cancel the common factor of

6

$6$ .

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Step 3.1

Factor

6

$6$ out of

180

$180$ .

\frac{11}{6} \cdot (6 (30))

$\frac{11}{6} \cdot (6 (30))$

Step 3.2

Cancel the common factor.

\frac{11}{6} \cdot (6 \cdot 30)

$\frac{11}{6} \cdot (6 \cdot 30)$

Step 3.3

Rewrite the expression.

11 \cdot 30

$11 \cdot 30$

11 \cdot 30

$11 \cdot 30$

Step 4

Multiply

11

$11$ by

30

$30$ .

330

$330$

Step 5

Convert to a decimal.

330 °

$330 °$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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