SOLUTION: someone help me? Thank you. Q: What is the trignometric form of the complex number w=-3+i?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: someone help me? Thank you. Q: What is the trignometric form of the complex number w=-3+i?       Log On


   

Question 1113091: someone help me? Thank you.
Q: What is the trignometric form of the complex number w=-3+i?
Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
z=-3+i

r=sqrt%28%283%2A3%29%2B%281%2A1%29%29=sqrt%2810%29

θ=tan^-1(1/-3)=-18.43°

Since the angle you want is in the second quadrant, θ=-18.43+(180)=162°

Therefore, the trigonometric form of the complex number is (3.16, 162°) (Answer)