Convert to Rectangular 7(cos(30)+isin(30))

$7 (\cos (30) + i \sin (30))$

Step 1

Simplify each term.

The exact value of $\cos (30)$ is $\frac{\sqrt{3}}{2}$ .

$7 (\frac{\sqrt{3}}{2} + i \sin (30))$

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$7 (\frac{\sqrt{3}}{2} + i \frac{1}{2})$

Combine $i$ and $\frac{1}{2}$ .

$7 (\frac{\sqrt{3}}{2} + \frac{i}{2})$

Step 2

Simplify terms.

Apply the distributive property.

$7 \frac{\sqrt{3}}{2} + 7 \frac{i}{2}$

Combine $7$ and $\frac{\sqrt{3}}{2}$ .

$\frac{7 \sqrt{3}}{2} + 7 \frac{i}{2}$

Combine $7$ and $\frac{i}{2}$ .

$\frac{7 \sqrt{3}}{2} + \frac{7 i}{2}$