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Express exp(3+Pi*i) in Cartesian Form

  • Thread starter nicemaths
  • Start date
  • #1
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The problem statement
Express exp(3+π*i) in Cartesian Form.

The attempt at a solution
Equating
e^(3+πi) = e^(x)e^(iy) = e^(x)(cos(y) + isin(y))
then
e^(x)cos(y) = 3
e^(x)sin(y)=π
now
|e^(3+πi)| = e^(x)
so x = sqrt(9+π^2)
then
cos(y) = 3/sqrt(9+π^2)
sin(y) = π/sqrt(9+π^2)

at this point i dont know where to go to find y,
i did tan(y) = π/3 but after than i dont know where to go


thanks for the help !
 

Answers and Replies

  • #2
mjc123
Science Advisor
Homework Helper
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e^(x)cos(y) = 3
e^(x)sin(y)=π
How do you get this? x=3, y=π. What is e3? What is cos π? What is sin π?
 
  • #3
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0
How do you get this? x=3, y=π. What is e3? What is cos π? What is sin π?
oh deary me, i feel silly now that i see the huge error
 
  • #4
mjc123
Science Advisor
Homework Helper
946
437
No need to feel silly, we all make mistakes, just learn from them.
 

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