Precalculus Examples

$\sin (\frac{π}{3}) \cos (\frac{π}{2}) + \cos (\frac{π}{3}) \sin (\frac{π}{2})$

Step 1

Simplify each term.

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Step 1.1

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

$\frac{\sqrt{3}}{2} \cos (\frac{π}{2}) + \cos (\frac{π}{3}) \sin (\frac{π}{2})$

Step 1.2

The exact value of $\cos (\frac{π}{2})$ is $0$ .

$\frac{\sqrt{3}}{2} \cdot 0 + \cos (\frac{π}{3}) \sin (\frac{π}{2})$

Step 1.3

Multiply $\frac{\sqrt{3}}{2}$ by $0$ .

$0 + \cos (\frac{π}{3}) \sin (\frac{π}{2})$

Step 1.4

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

$0 + \frac{1}{2} \sin (\frac{π}{2})$

Step 1.5

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

$0 + \frac{1}{2} \cdot 1$

Step 1.6

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

$0 + \frac{1}{2}$

Step 2

Add $0$ and $\frac{1}{2}$ .

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$