SOLUTION: can someone help me plz? Thank you. What is the trigonometric form of the complex number w=-3+2i?

Question 1113095: can someone help me plz? Thank you. What is the trigonometric form of the complex number w=-3+2i?

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
w = -3 +2i
:
trigonometric form is
:
w = |w|(cos(theta) + i * sin(theta))
:
|w| = square root( (-3)^2 + 2^2 ) = square root(13)
:
theta = tan^(-1) (2/-3) = −33.69
:
because theta is in the second quadrant, we add 180 to it
:
theta = −33.69 + 180 = 146.31
:
w = square root(13) * (cos(146.31) +i * sin(146.31))
:

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