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? asked in Science & MathematicsMathematics · 6 years ago

Help simplifying complex number to standard form!?

Simplify into standard form:

e^3 * (cos(pi/4) + isin(pi/4))

Any help would be greatly appreciated!

1 Answer

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  • ?
    Lv 7
    6 years ago

    e^3 * (cos(pi/4) + isin(pi/4))

    =e^(3+i(pi/4))

    =(e^3,pi/4) in polar form

    Rectangular form: cos(pi/4)=sin(pi/4)=sqrt(2)/2

    e^3(sqrt(2)/2)+e^3(sqrt(2)/2)i

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