17. Graphing Complex Numbers
Products and Quotients of Complex Numbers - Video Tutorials & Practice Problems
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Products of Complex Numbers in Polar Form
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2
Given z1=5(cos6π+isin6π) and z2=3(cos43π+isin43π), find the product z1・z2.
z1・z2=15CiS(1211π2)
z1・z2=15CiS(2π)
z1・z2=CiS(2π2)
z1・z2=15CiS(1211π)
3
Given z1=32(cos25°+isin25°) and z2=25(cos15°+isin15°), find the product z1・z2.
z1・z2=35CiS(375°)
z1・z2=CiS(40°)
z1・z2=619CiS(40°)
z1・z2=619CiS(375°)
4
Quotients of Complex Numbers in Polar Form
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5
Given z1=51(cos2π+isin2π) and z2=5(cos5π+isin5π), find the quotient z2z1.
z2z1=251CiS(103π)
z2z1=251CiS(25π)
z2z1=−524CiS(103π)
z2z1=−524CiS(25)
6
Given z1=12(cos30°+isin30°) and z2=3(cos50°+isin50°), find the quotient z2z1.
z2z1=4CiS(20°)
z2z1=9CiS(340°)
z2z1=9CiS(20°)
z2z1=4CiS(340°)