Bilangan Kompleks

Selesaikan

 $\left(2+3i\right)+\left(4-5i\right)=$  ....

•  $6-2i$  

•  $2-6i$  

•  $-2+8i$  

•  $8-2i$  

Selesaikan

 $\left(2+3i\right)\left(4-5i\right)=$  ...

•  $8-10i$  

•  $8-13i$  

•  $23+2i$  

•  $-7+2i$  

Sederhanakan

 $\frac{2+3i}{4-5i}=...$  

•  $\frac{-5+12i}{23+2i}$  

•  $\frac{13}{-7-22i}$  

•  $\frac{-7+22i}{41}$  

•  $\frac{23+2i}{-9-40i}$  

Nyatakan

 $z=1-i\sqrt{3}$  ke dalam bentuk polar.

•  $z=2\left[\cos\left(60\degree+n360\degree\right)+i\sin\left(60\degree+n360\degree\right)\right]$   

•  $z=2\left[\cos\left(120\degree+n360\degree\right)+i\sin\ \left(120\degree+n360\degree\right)\right]$  

•  $z=2\left[\cos\left(240\degree+n360\degree\right)+i\sin\left(240\degree+n360\degree\right)\right]$  

•  $z=2\left[\cos\left(300\degree+n360\degree\right)+i\sin\left(300\degree+n360\degree\right)\right]$  

Tentukan hasil bagi

 $z=\frac{z_1}{z_2}$  jika diketahui  $z_1=2\left(\cos300\degree+i\sin300\degree\right)$  dan  $z_2=8\left(\cos210\degree+i\sin210\degree\right)$  

•  $z=16\left(\cos150\degree+i\sin150\degree\right)$  

•  $z=\frac{1}{4}\left(\cos90\degree+i\sin90\degree\right)$  

•  $z=\frac{1}{4}\left(\cos270\degree+i\sin270\degree\right)$  

•  $z=4\left(\cos270\degree+i\sin270\degree\right)$