Trigonometry Examples

\cos (\frac{11 π}{3})

$\cos (\frac{11 π}{3})$

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

$2 π$ .

\cos (\frac{5 π}{3})

$\cos (\frac{5 π}{3})$

Step 2

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

\cos (\frac{π}{3})

$\cos (\frac{π}{3})$

Step 3

The exact value of

\cos (\frac{π}{3})

$\cos (\frac{π}{3})$ is

\frac{1}{2}

$\frac{1}{2}$ .

\frac{1}{2}

$\frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{1}{2}

$\frac{1}{2}$

Decimal Form:

0.5

$0.5$