Find the Exact Value cos(60 degrees )^2

$\cos^{2} (60 °)$

The exact value of $\cos (60 °)$ is $\frac{1}{2}$ .

${(\frac{1}{2})}^{2}$

Apply the product rule to $\frac{1}{2}$ .

$\frac{1^{2}}{2^{2}}$

One to any power is one.

$\frac{1}{2^{2}}$

Raise $2$ to the power of $2$ .

$\frac{1}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$