Precalculus Examples

$x = \cos (\frac{29}{3} \cdot π)$

Step 1

Combine $\frac{29}{3}$ and $π$ .

$x = \cos (\frac{29 π}{3})$

Step 2

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

$x = \cos (\frac{5 π}{3})$

Step 3

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

$x = \cos (\frac{π}{3})$

Step 4

The exact value of $\cos (\frac{π}{3})$ is $\frac{1}{2}$ .

$x = \frac{1}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$