Complex Number and Polar Plane

Write in Polar Form :

 $-1,\ -i\sqrt{3}$  

• Z=3(COS 30 +I SIN 30)

• Z=2(COS 60 + I SIN 60)

• Z= 4(COS 30 + I SIN 30)

• Z+ 2(COS 30 + I SIN 30)

 $FIND\ THE\ ABSOLUTE\ VALUE$  
Z=3-I

•  $\sqrt{9}$  

•  $\sqrt{10}$  

•  $\sqrt{8}$  

•  $1$  

 $WRITE\ IN\ TRIGONOMETRIC\ FORM:\ \ \$   $-1\ +i$  

•  $\left(\sqrt{2}\left(\cos\left(\frac{1}{4}\pi\right)\right)\ +\ i\ \sin\ \left(\frac{1}{4}\pi\right)\right)$  

•  $\sqrt{2}\left(\cos\ \frac{3}{4}\pi\ +i\ \sin\ \frac{3}{4}\pi\right)$  

•  $\sqrt{3}\left(\sin\ \frac{1}{4}\pi+\ \cos\ \frac{1}{4}\pi\right)$  

•  $\sqrt{2}\left(\cos\ \frac{5}{4}\pi\ +\ \sin\ \frac{5}{4}\pi\right)$  

Find the Absolute value z=-5

• 5

• 10

• 0

• -5

Write the complex number in Polar Form. Express the argument in Degrees:    6+0i

•  $6\left(\cos\ 270\degree\ +\ i\ \sin\ 270\degree\right)$  

•  $6\left(\cos\ 180\degree\ +\ i\ \sin\ 180\degree\right)$  

•  $6\left(\cos\ 0\degree\ +\ i\ \sin\ 0\degree\right)$  

•  $6\left(\cos\ 90\degree\ +i\ \sin\ 90\degree\right)$  

Write in Polar : $0\ +\ 6i$  

•  $6\left(\ Cos\ 180\degree\ +\ i\ \sin\ 180\degree\right)$  

•  $6\left(\cos\ 0\degree\ +\ i\ \sin\ 0\degree\right)$  

•  $6\left(Cos\ 270\degree\ +\ i\ \sin\ 270\degree\right)$  

•  $6\left(Cos\ 90\degree\ +\ i\ \sin\ 90\degree\right)$  

 $Write\ in\ Rec\tan gular\ Form$   $-5\left(Cos\ 120\degree\ +\ i\ Sin\ 120\degree\right)$  

•  $\frac{5}{2}+\frac{5\sqrt{3}}{2}i$  

•  $\frac{-5}{2}+\frac{5\sqrt{3}}{2}i$  

•  $\frac{5}{2}+\frac{-5\sqrt{3}}{2}i$  

•  $\frac{-5}{2}+\frac{-5\sqrt{3}}{2}i$  

 $Write\ in\ Rec\tan gular\ Form:$   $-3\left(Cos\ 225\degree\ +i\ Sin\ 225\degree\right)$  

•  $\frac{3\sqrt{2}}{2}+\frac{3\sqrt{2}}{2}i$  

•  $\frac{-3\sqrt{2}}{2}+\frac{-3\sqrt{2}}{2}i$  

•  $\frac{3\sqrt{2}}{2}+\frac{-3\sqrt{2}}{2}i$  

•  $\frac{-3\sqrt{2}}{2}+\frac{3\sqrt{2}}{2}i$  

 $Write\ in\ Polar\ Form\ :$   $3\ +6i$  

•  $3\sqrt{5\ }\left(Cos\ 60\degree\ +\ i\ \sin\ 60\degree\right)$  

•  $3\sqrt{5}\left(Cos\ 64.4\degree\ \ +\ i\ \sin\ 64.4\degree\right)$  

•  $3\sqrt{5}\left(Cos\ 63.4\degree\ +\ i\ Sin\ 63.4\degree\right)$  

•  $3\sqrt{5}\left(Cos\ 65.4\degree\ +\ i\ Sin\ 65.4\degree\right)$  

 $Write\ in\ rec\tan gular\ Form:$   $2\left(Cos\ 30\degree+\ i\ Sin\ \ 30\degree\right)$  

•  $3\ +\ 2\ i$  

•  $\sqrt{3}\ -\ i$  

•  $\sqrt{3}\ +i$  

•  $-\sqrt{3}\ +i$