Heeeeeelp i dont get it

Question

ReRepesent. The complex number graphicaly and find the stadard form of the number.

    8(cos 225°+isin225)

      This what i did

    8(-√2/2-i√2/2)

 And when i evaluate this i get the wrong answer

    Iget -8-8i

  Helllpppp please

Answer 1

You did this right:

 

8(cos 225°+isin225) = 8(-√2/2-i√2/2)

 

But now you should have distributed the 8 to get:

 

= –4√(2) – 4√(2) i

 

I think you read √2/2 as √(2/2) = √(1);

but cos(225°) = sin(225°) = – (√(2))/2

which, when multiplied by 8 gives – 4√(2).