Download Pre Calculus Pre Ap PS: More Complex Numbers For each pair of

Pre Calculus Pre Ap
I.
PS: More Complex Numbers
For each pair of complex numbers, graph the first one in red, and then the second one (after you
simplify it) in blue. Write a sentence of how the blue point has been transformed from the red point.
1. Red:
 2  i , Blue: 2(2  i )
2. Red:
4  i , Blue: i (4  i )
3. Red:
 3  2i Blue:  2i (3  2i)
II. Find the absolute value, or modulus, of the following complex numbers
4. z=-2+5i
5.
z=  2  2
3i
6.
z=-7+4i
III. Represent the complex number graphically, and find the trigonometric form of the number
7. 2+2i
8.
4  4 3i
9.
4
IV. Represent the complex number graphically, and find the standard form of the number.
10. 3(cos120°+isin120°)
Graph for #1-3
11.
8(cos90°+isin90°)
12.
5(cos135°+sin135°)
Pre Calculus Pre Ap
PS: More Complex Numbers
V. For each pair of complex numbers, graph the first one in red, and then the second one (after you
simplify it) in blue. Write a sentence of how the blue point has been transformed from the red point.
2. Red:
 2  i , Blue: 2(2  i )
2. Red:
4  i , Blue: i (4  i )
3. Red:
 3  2i Blue:  2i (3  2i)
VI. Find the absolute value, or modulus, of the following complex numbers
5. z=-2+5i
5.
z=  2  2
3i
6.
z=-7+4i
VII. Represent the complex number graphically, and find the trigonometric form of the number
7. 2+2i
VIII.
8.
4  4 3i
9.
4
Represent the complex number graphically, and find the standard form of the number.
10. 3(cos120°+isin120°)
Graph for #1-3
11.
8(cos90°+isin90°)
12.
5(cos135°+sin135°)