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Lv 4
Complex Numbers Forms?
Write in polar form:
a) πi
Write in the form a+bi:
b) e^(-πi/4)
c) e^(1+πi)
d) e^(3+i)
1 Answer
Relevance
- 4 weeks ago
pi * i =>
pi * (0 + i) =>
pi * (cos(pi/2) + i * sin(pi/2)) =>
(e^ln(pi)) * e^((pi/2) * i) =>
e^(ln(pi) + (pi/2) * i)
e^((-pi/4) * i) =>
(cos(-pi/4) + i * sin(-pi/4)) =>
(sqrt(2)/2 - (sqrt(2)/2) * i) =>
(sqrt(2)/2) * (1 - i)
e^(1 + pi * i) =>
e * (cos(pi) + i * sin(pi)) =>
-e
e^(3 + i) =>
(e^3) * (cos(1) + i * sin(1))
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