Trigonometry Examples

$- \frac{2 π}{5}$

Step 1

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

$- \frac{2 π}{5 °} \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1

Move the leading negative in $- \frac{2 π}{5}$ into the numerator.

$\frac{- 2 π}{5} \cdot \frac{π}{180}$ radians

Step 2.2

Factor $2$ out of $- 2 π$ .

$\frac{2 (- π)}{5} \cdot \frac{π}{180}$ radians

Step 2.3

Factor $2$ out of $180$ .

$\frac{2 (- π)}{5} \cdot \frac{π}{2 (90)}$ radians

Step 2.4

Cancel the common factor.

$\frac{2 (- π)}{5} \cdot \frac{π}{2 \cdot 90}$ radians

Step 2.5

Rewrite the expression.

$\frac{- π}{5} \cdot \frac{π}{90}$ radians

Step 3

Multiply $\frac{- π}{5}$ by $\frac{π}{90}$ .

$\frac{- π π}{5 \cdot 90}$ radians

Step 4

Raise $π$ to the power of $1$ .

$\frac{- (π π)}{5 \cdot 90}$ radians

Step 5

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

$\frac{- π^{1 + 1}}{5 \cdot 90}$ radians

Step 6

Add $1$ and $1$ .

$\frac{- π^{2}}{5 \cdot 90}$ radians

Step 7

Multiply $5$ by $90$ .

$\frac{- π^{2}}{450}$ radians

Step 8

Move the negative in front of the fraction.

$- \frac{π^{2}}{450}$ radians