How can you use trigonometric functions to simplify # 19 e^( ( 5 pi)/3 i ) # into a non-exponential complex number?

Question

How can you use trigonometric functions to simplify # 19 e^( ( 5 pi)/3 i ) # into a non-exponential complex number?

1 Answer

Impact of this question

1121 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-14T01:19:53

I found: #9.8-16.4i#

Explanation:

We can use Euler Form of the complex number and the conversion into trigonometric form to get to the normal #a+ib# form as:
#19e^((5/3pi)i)=19[color(red)(cos(5/3pi)+isin(5/3pi))]=#
evaluating our trig forms we get:
#=19[0.5-0.866i]=9.8-16.4i#

Science

Math

Humanities

... and beyond

How can you use trigonometric functions to simplify # 19 e^( ( 5 pi)/3 i ) # into a non-exponential complex number?

1 Answer

Explanation:

Related questions

Impact of this question