Question

How do you add `(8+9i)+(-4+6i)` in trigonometric form?

Answer 1

`(8+9i)+(-4+6i) = 4+15i`

Explanation:

Whilst we could convert each complex number into trigonometric forms, it would be cumbersome to do so, instead we just expand the expression and collect real and imaginary terms:

`(8+9i)+(-4+6i) = (8-4)+(9i+6i)`
`" " = 4+15i`