Trigonometry Examples

cos (- \frac{π}{6})

$\cos (- \frac{π}{6})$

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

$2 π$ .

cos (\frac{11 π}{6})

$\cos (\frac{11 π}{6})$

Step 2

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

cos (\frac{π}{6})

$\cos (\frac{π}{6})$

Step 3

The exact value of

cos (\frac{π}{6})

$\cos (\frac{π}{6})$ is

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

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

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

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

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

Decimal Form:

0.86602540 \dots

$0.86602540 \dots$