Trigonometry Examples

- \frac{16 π}{9}

$- \frac{16 π}{9}$

Step 1

Find an angle that is positive, less than

2 π

$2 π$ , and coterminal with

- \frac{16 π}{9}

$- \frac{16 π}{9}$ .

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Step 1.1

Add

2 π

$2 π$ to

- \frac{16 π}{9}

$- \frac{16 π}{9}$ .

- \frac{16 π}{9} + 2 π

$- \frac{16 π}{9} + 2 π$

Step 1.2

The resulting angle of

\frac{2 π}{9}

$\frac{2 π}{9}$ is positive and coterminal with

- \frac{16 π}{9}

$- \frac{16 π}{9}$ .

\frac{2 π}{9}

$\frac{2 π}{9}$

\frac{2 π}{9}

$\frac{2 π}{9}$

Step 2

Since

\frac{2 π}{9}

$\frac{2 π}{9}$ is in the first quadrant, the reference angle is

\frac{2 π}{9}

$\frac{2 π}{9}$ .

\frac{2 π}{9}

$\frac{2 π}{9}$