Trigonometry Examples

$\frac{25 π}{4}$

Step 1

Find an angle that is positive, less than $2 π$ , and coterminal with $\frac{25 π}{4}$ .

Tap for more steps...

Step 1.1

Subtract $2 π$ from $\frac{25 π}{4}$ .

$\frac{25 π}{4} - 2 π$

Step 1.2

The resulting angle of $\frac{17 π}{4}$ is positive, less than $2 π$ , and coterminal with $\frac{25 π}{4}$ .

$\frac{17 π}{4}$

Step 1.3

Subtract $2 π$ from $\frac{17 π}{4}$ .

$\frac{17 π}{4} - 2 π$

Step 1.4

The resulting angle of $\frac{9 π}{4}$ is positive, less than $2 π$ , and coterminal with $\frac{25 π}{4}$ .

$\frac{9 π}{4}$

Step 1.5

Subtract $2 π$ from $\frac{9 π}{4}$ .

$\frac{9 π}{4} - 2 π$

Step 1.6

The resulting angle of $\frac{π}{4}$ is positive, less than $2 π$ , and coterminal with $\frac{25 π}{4}$ .

$\frac{π}{4}$

Step 2

Since $\frac{π}{4}$ is in the first quadrant, the reference angle is $\frac{π}{4}$ .

$\frac{π}{4}$