Precalculus Examples

$(\frac{π}{2} \cdot π) \sin (\frac{\sqrt{2}}{2})$

Step 1

Multiply $\frac{π}{2} π$ .

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Step 1.1

Combine $\frac{π}{2}$ and $π$ .

$\frac{π π}{2} \sin (\frac{\sqrt{2}}{2})$

Step 1.2

Raise $π$ to the power of $1$ .

$\frac{π^{1} π}{2} \sin (\frac{\sqrt{2}}{2})$

Step 1.3

Raise $π$ to the power of $1$ .

$\frac{π^{1} π^{1}}{2} \sin (\frac{\sqrt{2}}{2})$

Step 1.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{π^{1 + 1}}{2} \sin (\frac{\sqrt{2}}{2})$

Step 1.5

Add $1$ and $1$ .

$\frac{π^{2}}{2} \sin (\frac{\sqrt{2}}{2})$

Step 2

Combine $\frac{π^{2}}{2}$ and $\sin (\frac{\sqrt{2}}{2})$ .

$\frac{π^{2} \sin (\frac{\sqrt{2}}{2})}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{π^{2} \sin (\frac{\sqrt{2}}{2})}{2}$

Decimal Form:

$3.20582979 \dots$