Trigonometry Examples

\frac{4}{3 π}

$\frac{4}{3 π}$

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{4}{3 π}) \cdot \frac{180 °}{π}

$(\frac{4}{3 π}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Factor

3

$3$ out of

3 π

$3 π$ .

\frac{4}{3 (π)} \cdot \frac{180}{π}

$\frac{4}{3 (π)} \cdot \frac{180}{π}$

Step 2.2

Factor

3

$3$ out of

180

$180$ .

\frac{4}{3 (π)} \cdot \frac{3 (60)}{π}

$\frac{4}{3 (π)} \cdot \frac{3 (60)}{π}$

Step 2.3

Cancel the common factor.

$\frac{4}{3 π} \cdot \frac{3 \cdot 60}{π}$

Step 2.4

Rewrite the expression.

$\frac{4}{π} \cdot \frac{60}{π}$

$\frac{4}{π} \cdot \frac{60}{π}$

Step 3

Multiply

$\frac{4}{π}$ by

$\frac{60}{π}$ .

$\frac{4 \cdot 60}{π π}$

Step 4

Multiply

$4$ by

$60$ .

$\frac{240}{π π}$

Step 5

Raise

$π$ to the power of

$1$ .

$\frac{240}{π^{1} π}$

Step 6

Raise

$π$ to the power of

$1$ .

$\frac{240}{π^{1} π^{1}}$

Step 7

Use the power rule

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

$\frac{240}{π^{1 + 1}}$

Step 8

Add

$1$ and

$1$ .

$\frac{240}{π^{2}}$

Step 9

$π$ is approximately equal to

$3.14159265$ .

$\frac{240}{{(3.14159265)}^{2}}$

Step 10

Convert to a decimal.

$24.31708407 °$

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