Trigonometry Examples

$\frac{5 π}{6}$

Step 1

Take the cotangent of $\frac{5 π}{6}$ .

$\cot (\frac{5 π}{6})$

Step 2

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

$- \cot (\frac{π}{6})$

Step 3

The exact value of $\cot (\frac{π}{6})$ is $\sqrt{3}$ .

$- \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \sqrt{3}$

Decimal Form:

$- 1.73205080 \dots$