- #1
- 5,199
- 38
Hello,
I'm having trouble with this problem:
[tex] \left| \frac{(\pi + i)^{100}}{(\pi - i)^{100}} \right| = \ \ ? [/tex]
My first thought was, "put it in polar form and simpify," but that is not helping.
For the numerator pi + i :
[tex] r = \sqrt{\pi^2 + 1} [/tex]
[tex] \theta = \arctan{ \frac{1}{\pi} } [/tex] = ?
I don't see how this will help, it's not an easy one to put in polar form
I can also see that the numerator and denominator are complex conjugates, so maybe that is the starting point. But I can't see how to proceed
I'm having trouble with this problem:
[tex] \left| \frac{(\pi + i)^{100}}{(\pi - i)^{100}} \right| = \ \ ? [/tex]
My first thought was, "put it in polar form and simpify," but that is not helping.
For the numerator pi + i :
[tex] r = \sqrt{\pi^2 + 1} [/tex]
[tex] \theta = \arctan{ \frac{1}{\pi} } [/tex] = ?
I don't see how this will help, it's not an easy one to put in polar form
I can also see that the numerator and denominator are complex conjugates, so maybe that is the starting point. But I can't see how to proceed