Trigonometry Examples

\frac{12 π}{4}

$\frac{12 π}{4}$

Step 1

Find an angle that is positive, less than

2 π

$2 π$ , and coterminal with

\frac{12 π}{4}

$\frac{12 π}{4}$ .

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Step 1.1

Subtract

2 π

$2 π$ from

\frac{12 π}{4}

$\frac{12 π}{4}$ .

\frac{12 π}{4} - 2 π

$\frac{12 π}{4} - 2 π$

Step 1.2

The resulting angle of

π

$π$ is positive, less than

2 π

$2 π$ , and coterminal with

\frac{12 π}{4}

$\frac{12 π}{4}$ .

π

$π$

π

$π$

Step 2

Since the angle

π

$π$ is in the second quadrant, subtract

π

$π$ from

π

$π$ .

π - π

$π - π$

Step 3

Subtract

π

$π$ from

π

$π$ .

0

$0$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$