SOLUTION: write the following complex numbers in polar form: -5+12i

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Question 1170645: write the following complex numbers in polar form: -5+12i
Answer by MathLover1(20850) About Me  (Show Source):
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write the following complex numbers in polar form: -5%2B12i
-5%2B12i=r%28cos%28theta%29%2Bi%2Asin%28theta%29%29

r=sqrt%28a%5E2%2Bb%5E2%29.............a=-5,b=12
r=sqrt%28%28-5%29%5E2%2B12%5E2%29
r=sqrt%2825%2B144%29
r=sqrt%28169%29
r=13

theta=tan%5E-1%28b%2Fa%29%2B180°
theta=tan%5E-1%2812%2F-5%29%2B180°
theta=-67.38%2B180°
theta=112.6°
then we have:
-5%2B12i=13%28cos%28112.6%29%2Bi%2Asin%28112.6%29%29