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Liana92
@Liana92
June 2019
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Considerando os números complexos z=4(cos 45°+ i sen 45°) e w=2 (cos 30° i sen 30°) determine z.w
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rbgrijo2011
Z=4(cos 45°+ i sen 45°)
z=4(√2/2 + i.√2/2)
z =(2√2 + 2√2i)
w=2 (cos 30° i sen 30°)
w=2(√3/2 + i.1/2)
w= (√3 + i)
z.w = (2√2 + 2√2i). (√3 + i)
z.w = 2√6 + 2√2i + 2√6i - 2√2
z w = (2√6 - 2√2) + (2√6 -2√2)i
z.w = 2√2(√3 -1) + 2√2(√3 -1)i
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z=4(√2/2 + i.√2/2)
z =(2√2 + 2√2i)
w=2 (cos 30° i sen 30°)
w=2(√3/2 + i.1/2)
w= (√3 + i)
z.w = (2√2 + 2√2i). (√3 + i)
z.w = 2√6 + 2√2i + 2√6i - 2√2
z w = (2√6 - 2√2) + (2√6 -2√2)i
z.w = 2√2(√3 -1) + 2√2(√3 -1)i