Trigonometry Examples

\frac{3 π}{5}

$\frac{3 π}{5}$

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{3 π}{5 °} \cdot \frac{π}{180 °}

$\frac{3 π}{5 °} \cdot \frac{π}{180 °}$ radians

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{3 (π)}{5} \cdot \frac{π}{180}

$\frac{3 (π)}{5} \cdot \frac{π}{180}$ radians

Step 2.2

Factor

3

$3$ out of

180

$180$ .

\frac{3 (π)}{5} \cdot \frac{π}{3 (60)}

$\frac{3 (π)}{5} \cdot \frac{π}{3 (60)}$ radians

Step 2.3

Cancel the common factor.

$\frac{3 π}{5} \cdot \frac{π}{3 \cdot 60}$ radians

Step 2.4

Rewrite the expression.

$\frac{π}{5} \cdot \frac{π}{60}$ radians

$\frac{π}{5} \cdot \frac{π}{60}$ radians

Step 3

Multiply

$\frac{π}{5}$ by

$\frac{π}{60}$ .

$\frac{π π}{5 \cdot 60}$ radians

Step 4

Use the power rule

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

$\frac{π^{1 + 1}}{5 \cdot 60}$ radians

Step 5

Add

$1$ and

$1$ .

$\frac{π^{2}}{5 \cdot 60}$ radians

Step 6

Multiply

$5$ by

$60$ .

$\frac{π^{2}}{300}$ radians

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