Friday, 30 November 2018

trigonometry - Real and imaginary part from trigonometric form

In school I am learning for complex numbers in trigonometric form.
z=a+bir(cos(α)+isin(α))


In a problem I have to find the real and imaginary part from trigonometric form of
1+cos(α)+isin(α)

For which I think the solution is




  • Real part = 1+arccos(α)

  • Imaginary part = arcsin(α)




PR2: sin(α)+icos(α)
Update>
For which I think the solution is>




  • Real part = arcsin(α)

  • Imaginary part = arccos(α)

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