Trigonometry Examples

$\cos (- \frac{11}{6} \cdot π)$

Step 1

Combine $π$ and $\frac{11}{6}$ .

$\cos (- \frac{π \cdot 11}{6})$

Step 2

Move $11$ to the left of $π$ .

$\cos (- \frac{11 \cdot π}{6})$

Step 3

Add full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$\cos (\frac{π}{6})$

Step 4

The exact value of $\cos (\frac{π}{6})$ is $\frac{\sqrt{3}}{2}$ .

$\frac{\sqrt{3}}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{2}$

Decimal Form:

$0.86602540 \dots$