# How do you write the following in trigonometric form and perform the operation given #(sqrt3+i)(1+i)#?

##### 1 Answer

#### Explanation:

I don't really get these questions. These are easy numbers to multiply in rectangular form -- why make it harder ?

The two factors are the two biggest cliches in trig, 30/60/90 and 45/45/90, so it's OK to just write down the trigonometric forms and multiply without too much thought, as I did above.

Let's turn each factor to trigonometric form, which is

basically polar coordinates, but still a rectangular form.

Let's remember how to turn a number into trigonometric or polar form:

We want to solve

Usually folks write a plain arctan for the angle, but I want to make clear we need to two parameter, four quadrant inverse tangent to properly convert to polar. The odd

We'll leave it there, but we know that equals