# How do you add #(8+8i)+(-4+6i)# in trigonometric form?

##### 1 Answer

Oct 7, 2017

See below.

#### Explanation:

To convert complex numbers to trigonometric form, find

#r^2 = a^2 + b^2#

#r^2 = 4^2 + 14^2#

#r = sqrt252 = 2sqrt53#

Find

#tan theta = b/a#

#tan theta = 14/4#

#theta = tan^-1(14/4) ~~ 1.29#

In trigonometric form, this is

Thus the answer is