SOLUTION: Express the complex number in trigonometric form. -6i

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Question 1133687: Express the complex number in trigonometric form.
-6i
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Express the complex number in trigonometric form.
-6i
z=r%28cos%28alpha%29%2Bi%2Asin%28alpha%29%29
-6i=a-b%2Ai =>a=0, b=-6
r=sqrt%28%28-6%29%5E2%29
r=+sqrt%2836%29
r=6
z=6%2A+%28cos%28alpha%29%2Bi%2Asin%28alpha%29%29
tan%28alpha%29=-6%2F0=undefined
Since the argument is undefined and b is negative, the angle of the point on the complex plane is 3pi%2F2.

z+=+6+%28cos%282pi%29+%2B+i+%2Asin%282pi%29%29