Trigonometry Examples

\frac{7 π}{3}

$\frac{7 π}{3}$

Step 1

Find an angle that is positive, less than

2 π

$2 π$ , and coterminal with

\frac{7 π}{3}

$\frac{7 π}{3}$ .

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Step 1.1

Subtract

2 π

$2 π$ from

\frac{7 π}{3}

$\frac{7 π}{3}$ .

\frac{7 π}{3} - 2 π

$\frac{7 π}{3} - 2 π$

Step 1.2

The resulting angle of

\frac{π}{3}

$\frac{π}{3}$ is positive, less than

2 π

$2 π$ , and coterminal with

\frac{7 π}{3}

$\frac{7 π}{3}$ .

\frac{π}{3}

$\frac{π}{3}$

\frac{π}{3}

$\frac{π}{3}$

Step 2

Since

\frac{π}{3}

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

\frac{π}{3}

$\frac{π}{3}$ .

\frac{π}{3}

$\frac{π}{3}$