Basic Math Examples

$4 \sin (\frac{π}{2}) + 4 (\frac{π}{2}) \cos (\frac{π}{2})$

Step 1

Simplify each term.

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Step 1.1

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

$4 \cdot 1 + 4 (\frac{π}{2}) \cdot \cos (\frac{π}{2})$

Step 1.2

Multiply $4$ by $1$ .

$4 + 4 (\frac{π}{2}) \cdot \cos (\frac{π}{2})$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Factor $2$ out of $4$ .

$4 + 2 (2) \frac{π}{2} \cdot \cos (\frac{π}{2})$

Step 1.3.2

Cancel the common factor.

$4 + 2 \cdot 2 \frac{π}{2} \cdot \cos (\frac{π}{2})$

Step 1.3.3

Rewrite the expression.

$4 + 2 π \cdot \cos (\frac{π}{2})$

Step 1.4

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

$4 + 2 π \cdot 0$

Step 1.5

Multiply $2 π \cdot 0$ .

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Step 1.5.1

Multiply $0$ by $2$ .

$4 + 0 π$

Step 1.5.2

Multiply $0$ by $π$ .

$4 + 0$

Step 2

Add $4$ and $0$ .

$4$