Solve 2(cospi/6+i*sinpi/6)

$$2 ( \cos \frac { \pi } { 6 } + i \cdot \sin \frac { \pi } { 6 } )$$

Evaluate

$$\sqrt{3}+i\approx 1.732050808+i$$

Solution Steps

Get the value of \cos(\frac{\pi }{6}) from trigonometric values table.

$$2\left(\frac{\sqrt{3}}{2}+i\sin(\frac{\pi }{6})\right)$$

Get the value of \sin(\frac{\pi }{6}) from trigonometric values table.

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

Use the distributive property to multiply 2 by \frac{\sqrt{3}}{2}+\frac{1}{2}i.

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

Cancel out 2 and 2.

$$\sqrt{3}+i$$

Real Part

$$\sqrt{3} = 1.732050808$$