Trigonometry Examples

tan (\frac{19 π}{6})

$\tan (\frac{19 π}{6})$

Step 1

Subtract full rotations of

2 π

$2 π$ until the angle is greater than or equal to

0

$0$ and less than

2 π

$2 π$ .

tan (\frac{7 π}{6})

$\tan (\frac{7 π}{6})$

Step 2

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

tan (\frac{π}{6})

$\tan (\frac{π}{6})$

Step 3

The exact value of

tan (\frac{π}{6})

$\tan (\frac{π}{6})$ is

\frac{\sqrt{3}}{3}

$\frac{\sqrt{3}}{3}$ .

\frac{\sqrt{3}}{3}

$\frac{\sqrt{3}}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{\sqrt{3}}{3}

$\frac{\sqrt{3}}{3}$

Decimal Form:

0.57735026 \dots

$0.57735026 \dots$