82 Please help solve for the correct answer Write the comple

8.2 Please help solve for the correct answer...

Write the complex number in trigonometric form. Round the angle to the nearest hundredth of a degree. (Do not use cis form.) 5 - 12i

Solution

given 5-12i

r =[5²+(-12)²]

r =[25+144]

r=169

r =13

5-12i=13((5_/13)+(-12_/13)i)

=360^o-tan^-1((12/13)/(5/13))

=292.62^o

5-12i=13(cos292.62^o+isin292.62^o)