Algebra Examples

$3 (\cos (2 π) + i \sin (2 π))$

Step 1

Simplify each term.

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Step 1.1

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$3 (\cos (0) + i \sin (2 π))$

Step 1.2

The exact value of $\cos (0)$ is $1$ .

$3 (1 + i \sin (2 π))$

Step 1.3

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$3 (1 + i \sin (0))$

Step 1.4

The exact value of $\sin (0)$ is $0$ .

$3 (1 + i \cdot 0)$

Step 1.5

Multiply $i$ by $0$ .

$3 (1 + 0)$

Step 2

Simplify the expression.

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Step 2.1

Add $1$ and $0$ .

$3 \cdot 1$

Step 2.2

Multiply $3$ by $1$ .

$3$