Hi, I have an exercise that asks me to find the argument and modulus of a complex number from the addition of 2 exponential, and I would need your help because I've been blocked for a long time, thank you for your help
You write:I made an error on factorization, so here is the result without factorization:
cos(x)+isin(x)*(cos^2(x)-sin^2(x)+i*2*sin(x)*cos(x))
Sorry for the double step, but I couldn't find a way to modify the old one
\(\exp(ix)=\cos(x)+i\sin(x)\) andHi, I have an exercise that asks me to find the argument and modulus of a complex number from the addition of 2 exponential, and I would need your help because I've been blocked for a long time, thank you for your help
You were asked for the argument and modulus, so if you continue as you are, you have to use the real and imaginary parts you have to find those.First, thank you for all the math leads to follow !
I gathered the terms, can I just give the imaginary and real part on this shape or do I have to simplify?
I would also like to know how to solve it geometrically, but I don't know what it will look like on a complex plane
I don't know how you got your results; you'll have to show your work. But the modulus is correct.By factoring from the start by an exponential, I have this result on the image, but i'm not sure it's good
I also know how to represent a complex on a plane, but I have never done it with cos sin or exponentials, always with integers
And this is what I found after calculating the modulus : sqrt(2)*sqrt(cos(x)+1)