Trigonometry Examples

\tan (- \frac{π}{3})

$\tan (- \frac{π}{3})$

Step 1

Add 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{5 π}{3})

$\tan (\frac{5 π}{3})$

Step 2

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the fourth quadrant.

- \tan (\frac{π}{3})

$- \tan (\frac{π}{3})$

Step 3

The exact value of

\tan (\frac{π}{3})

$\tan (\frac{π}{3})$ is

\sqrt{3}

$\sqrt{3}$ .

- \sqrt{3}

$- \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

- \sqrt{3}

$- \sqrt{3}$

Decimal Form:

- 1.73205080 \dots

$- 1.73205080 \dots$