Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 22
7�
�
1 . Consider the complex numbers z1
� 12cis and z2 � 4cis . 6 2 z1
( a ) Express z
2 in the form
( i ) rcis� ; i
( ii ) re � .
[ 3 ] z1
( b ) Hence , find the real part of
z . 2 [ 2 ]
� � � 2 . Consider the complex numbers z1 �18 3cis � � �
� 6 � and 1 �
z2
� cis . 9 3
( a ) Express zz
1 2in the form
( i ) rcis� ;
( ii ) i re � .
( b ) Hence , find the real part of zz
1 2.
[ 3 ]
[ 2 ]
�
� 3 . Consider the complex numbers z1 � 2cis and z2 � 3cis . 12 4
( a ) ( i ) Express
2 z
1 in the form rcis� .
( ii ) Hence , find the imaginary part of
( b ) Express
2 z1 z
2 in the form
2 z
1
. [ 4 ]
( i ) rcis� ;
( ii ) i re � . [ 3 ]
64
SE Production Limited