# How do you add (8-3i)+(7+4i) in trigonometric form?

May 19, 2018

$\left(\sqrt{226} , \tan \left(\frac{1}{15}\right)\right)$

#### Explanation:

If you add them together you get:

$15 + i$

I'm not sure what you mean "trigonometric form" but to convert to polar form $\left(r , \theta\right)$ you have

Standard complex form: $a x + b i$

$r = \sqrt{{a}^{2} + {b}^{2}}$

$r = \sqrt{{15}^{2} + {1}^{2}}$

$r = \sqrt{{15}^{2} + {1}^{2}}$

$r = \sqrt{226}$

$\theta = \tan \left(\frac{b}{a}\right)$

$\theta = \tan \left(\frac{1}{15}\right)$