# What is the trigonometric form of  15 e^( ( 5 pi)/12 i ) ?

Jun 12, 2016

It is $15 \left(\cos \left(\frac{5 \pi}{12}\right) + i \sin \left(\frac{5 \pi}{12}\right)\right)$.

#### Explanation:

The exponential and trigonometric functions are connected by the relationship

${e}^{i x} = \cos \left(x\right) + i \sin \left(x\right)$.

For you the conversion is

$15 {e}^{i \frac{5 \pi}{12}} = 15 \left(\cos \left(\frac{5 \pi}{12}\right) + i \sin \left(\frac{5 \pi}{12}\right)\right)$