Trigonometry Examples

$\frac{19 π}{8}$

Step 1

Find an angle that is positive, less than $2 π$ , and coterminal with $\frac{19 π}{8}$ .

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Step 1.1

Subtract $2 π$ from $\frac{19 π}{8}$ .

$\frac{19 π}{8} - 2 π$

Step 1.2

The resulting angle of $\frac{3 π}{8}$ is positive, less than $2 π$ , and coterminal with $\frac{19 π}{8}$ .

$\frac{3 π}{8}$

Step 2

Since $\frac{3 π}{8}$ is in the first quadrant, the reference angle is $\frac{3 π}{8}$ .

$\frac{3 π}{8}$