- #1
Bob Busby
- 47
- 0
Homework Statement
(5e^(j*a))(3 + j*b) = -25 Find real numbers a and b satisfying the preceding equation.
There are two different answer sets for {a,b} so find both of them.
Homework Equations
e^(j*a) = cos(a) + j*sin(a)
The Attempt at a Solution
I converted it to get 5*sqrt(9 + b^2)*e^(j*a + j * arctan(b/3)) = -25. I don't really see where to go from here. If I separate the real parts I will just get a cos(a + arctan(b/3)) which doesn't help me even if I equate real and imaginary parts. What do I do?