Solve 12(cos(-1/2)+isin(frac{sqrt{3}}{2}))

$$12 ( \cos ( - \frac { 1 } { 2 } ) + i \sin ( \frac { \sqrt { 3 } } { 2 } ) )$$

Evaluate

$$11.9995430767700556+0.181373030066285316i$$

Solution Steps

Evaluate trigonometric functions in the problem

$$12 {(0.9999619230641713 + i 0.015114419172190443)}$$

Multiply 12 times 0.9999619230641713+0.015114419172190443i.

$$12\times 0.9999619230641713+12\times \left(0.015114419172190443i\right)$$

Do the multiplications.

$$11.9995430767700556+0.181373030066285316i$$

Real Part

$$11.9995430767700556$$

Solution Steps

Evaluate trigonometric functions in the problem

$$12 {(0.9999619230641713 + i 0.015114419172190443)}$$

Multiply 12 times 0.9999619230641713+0.015114419172190443i.

$$Re(12\times 0.9999619230641713+12\times \left(0.015114419172190443i\right))$$

Do the multiplications in 12\times 0.9999619230641713+12\times \left(0.015114419172190443i\right).

$$Re(11.9995430767700556+0.181373030066285316i)$$

The real part of 11.9995430767700556+0.181373030066285316i is 11.9995430767700556.

$$11.9995430767700556$$