Answer: Is this one question???
Step-by-step explanation:
You have to multipied by two
The answer has to be D(3,0)
The rectangular form of a complex number can be written as:
![z=a+bi](https://tex.z-dn.net/?f=z%3Da%2Bbi)
For real numbers <em>a</em> and <em>b.</em>
Starting from the given z₁, we can distribute the 10:
![\begin{gathered} z_1=10\lbrack\cos (270\degree)+i\sin (270\degree)\rbrack \\ z_1=10\cos (270\degree)+10i\sin (270\degree) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20z_1%3D10%5Clbrack%5Ccos%20%28270%5Cdegree%29%2Bi%5Csin%20%28270%5Cdegree%29%5Crbrack%20%5C%5C%20z_1%3D10%5Ccos%20%28270%5Cdegree%29%2B10i%5Csin%20%28270%5Cdegree%29%20%5Cend%7Bgathered%7D)
Now, from the unit circle, we can see that:
![\begin{gathered} \cos (270\degree)=0 \\ \sin (270\degree)=-1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ccos%20%28270%5Cdegree%29%3D0%20%5C%5C%20%5Csin%20%28270%5Cdegree%29%3D-1%20%5Cend%7Bgathered%7D)
So, substituting them, we get: