Algebra Examples

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

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

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

$z = 4 (0 + i \sin (\frac{π}{2}))$

Step 1.1.2

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

$z = 4 (0 + i \cdot 1)$

Step 1.1.3

Multiply $i$ by $1$ .

$z = 4 (0 + i)$

Step 1.2

Add $0$ and $i$ .

$z = 4 i$