Trigonometry Examples

$\frac{13}{2} π$

Step 1

Subtract $2 π$ from $\frac{13}{2} \cdot π$ .

$\frac{13}{2} \cdot π - 2 π$

Step 2

The resulting angle of $\frac{9 π}{2}$ is positive, less than $2 π$ , and coterminal with $\frac{13}{2} \cdot π$ .

$\frac{9 π}{2}$

Step 3

Subtract $2 π$ from $\frac{9 π}{2}$ .

$\frac{9 π}{2} - 2 π$

Step 4

The resulting angle of $\frac{5 π}{2}$ is positive, less than $2 π$ , and coterminal with $\frac{13}{2} \cdot π$ .

$\frac{5 π}{2}$

Step 5

Subtract $2 π$ from $\frac{5 π}{2}$ .

$\frac{5 π}{2} - 2 π$

Step 6

The resulting angle of $\frac{π}{2}$ is positive, less than $2 π$ , and coterminal with $\frac{13}{2} \cdot π$ .

$\frac{π}{2}$