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
  • 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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