Tuesday

September 23, 2014

September 23, 2014

Posted by **Lynn** on Thursday, October 6, 2011 at 7:47pm.

z = 1 - i

w = 1 - √3i

- math (please please please help) -
**Count Iblis**, Thursday, October 6, 2011 at 11:00pmThe polar form expresses a complex number as:

z = |z| exp(i theta)

theta is the angle with the positive real axis.

For z = 1 - i, we have:

|z| = sqrt(2)

Then it's easy to see that you can take theta = -pi/4:

exp(-i pi/4) = cos(pi/4) - i sin(pi/4) =

1/sqrt(2) (1-i).

Then in case of

w = 1 - √3i

you have:

|w| = sqrt(4) = 2

And you easly see that theta = -pi/3

You can compute theta directly by taking arctan of imaginary part divided by the real part, but you may then need to add pi to this. If you multiply z by -1, theta changes by plus or minus pi, while the ratio stays the same.

- math (please please please help) -
**Steve**, Friday, October 7, 2011 at 5:36amIn polar form, the first is (1/sqrt(2),-pi/4)

The second is (2,-pi/3)

**Answer this Question**

**Related Questions**

precalculus - convert the equation y^2 = 2x -x^2 into polar form. convert the ...

Math - Help with radicals please - Please show work Simplify rational 1. 4√...

Math help Ms. Sue please - 1. What is the simplified form of the expression? 7m^...

pre calc.Math - Please help me any one of these please! Thank You to any one r=...

Dividing Radicals Problem!! - Divide the following radical and simplify the ...

PRECALCULUS HELP PLEASE! - convert the polar equation to rectangular form. 1.) ...

grade 11 math - I don't get how to do this. I'm so lost please help me. ...

Math(I Don't Get THIS!!) - 15sqrt8x^16/5sqrt2x^4 *I totally need help with this ...

math grade 11 - i need help with this quretsion ; i dont know if im right, and i...

math grade 11 - i need help with this quretsion ; i dont know if im right, and i...