Find the Exact Value cos((pi/3)/2)

$\cos (\frac{\frac{π}{3}}{2})$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\cos (\frac{π}{3} \cdot \frac{1}{2})$

Step 2

Multiply $\frac{π}{3} \cdot \frac{1}{2}$ .

Multiply $\frac{π}{3}$ by $\frac{1}{2}$ .

$\cos (\frac{π}{3 \cdot 2})$

Multiply $3$ by $2$ .

$\cos (\frac{π}{6})$

Step 3

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

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.86602540 \dots$