The polar form of a complex number z = x + yi is r*(cos A + i* sin A)

where tan A= y/x and r = sqrt (x^2 + y^2)

Here we have z = 6 - 8i

r = sqrt( 6^2 + 8^2) = sqrt (36 + 64) = sqrt 100 = 10

tan A = -8/6 = -4/3

A = arc tan (-4/3)

z = 10*( cos (arc tan(-4/3) + i* sin (arc tan(-4/3))

**The required polar form of z = 6 - 8i is z = 10*( cos (arc tan(-4/3) + i* sin (arc tan(-4/3))**

## We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support

Already a member? Log in here.

Are you a teacher? Sign up now