Evaluate sin(30 degrees )^2

$\sin^{2} (30 °)$

Step 1

The exact value of $\sin (30 °)$ is $\frac{1}{2}$ .

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

Step 2

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

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

Step 3

One to any power is one.

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

Step 4

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

$\frac{1}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$