Trigonometry Examples

$\frac{3 π}{4}$

Step 1

To convert degrees to radians, multiply by $\frac{π}{180 °}$ , since a full circle is $360 °$ or $2 π$ radians.

$\frac{3 π}{4 °} \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $3 π$ .

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

Step 2.2

Factor $3$ out of $180$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

Step 3

Multiply $\frac{π}{4}$ by $\frac{π}{60}$ .

$\frac{π π}{4 \cdot 60}$ radians

Step 4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{π^{1 + 1}}{4 \cdot 60}$ radians

Step 5

Add $1$ and $1$ .

$\frac{π^{2}}{4 \cdot 60}$ radians

Step 6

Multiply $4$ by $60$ .

$\frac{π^{2}}{240}$ radians