Question

How do you multiply `(8-2i)(6-7i)` in trigonometric form?

Answer 1

Just like multiplying polynomials in Algebra, use the distribution property to multiply the terms and use the property of imaginary numbers t simplify it further.

Explanation:

`(8-2i)(6-7i)`

Distribute the terms into a polynomial.

`=14i^2-68i+48`

Now, we do know that:

`i^1=i`
`i^2=-1`
`i^3=-i`
`i^4=1`
and the pattern goes on and on...

We can now simplify it to:

`=34-68i`