4. (2 pts) Prove that z1 + 22 = 21 + Z2. 5. (2 pts) Prove that 7122 = 712. 6. (2 pts) Prove that |212| = |21||2|. Begin by squaring both sides and using the property |z|² = zz. Then use the property 71z2 = 71Z2. 7. (2 pts) (a) Write -V3+ i in polar and exponential forms. 7T 7T (b) Write z = 3 +i sin in Cartesian form. COS 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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4. (2 pts) Prove that z1 + 22 = 21 + Z2.
5. (2 pts) Prove that 7122 = 712.
6. (2 pts) Prove that |212| = |21||2|. Begin by squaring both sides and using the property |z|² = zz.
Then use the property 71z2 = 71Z2.
7. (2 pts)
(a) Write -V3+ i in polar and exponential forms.
7T
7T
(b) Write z = 3
+i sin
in Cartesian form.
COS
6
Transcribed Image Text:4. (2 pts) Prove that z1 + 22 = 21 + Z2. 5. (2 pts) Prove that 7122 = 712. 6. (2 pts) Prove that |212| = |21||2|. Begin by squaring both sides and using the property |z|² = zz. Then use the property 71z2 = 71Z2. 7. (2 pts) (a) Write -V3+ i in polar and exponential forms. 7T 7T (b) Write z = 3 +i sin in Cartesian form. COS 6
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