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Can't transform from polar to rectangular

Hi please help i can't find the (e) which write the polar form
which is diffrent from the (e) of the exponantial
thanks

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  • barney1234 Jan 26, 2009

    I have the same problem but in Casio Algebra FX2.0 Plus. I can't find the (e) letter which is needed to complex transformation. When i transform from rectangular form to the polar form, there is no problem, but if i want to change the polar form to rectangular form, i have to type (e) which isn't the same as the e in function e^x. And i ca't find other "e" in this calculator. Help please.

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  • Casio Master
  • 7,993 Answers

Hello,
The e is the same, it is the exponential. According to Euler's relation
e^(i theta) = cos(theta) + i sin(theta), where i is the imaginary unit.
When represented on the complex plane (x,iy) the point (cos(theta), sin(theta)) is at the extremity of a vector of length 1 and making an angle theta with the real axis.

In (plane) polar coordinates, a point is defined by the radius r, and the angle, theta, it makes with the x axis, measured in the trigonometric (counterclockwise) direction. It is structurally equaivalent to representing it in the complex plane as r*e^(i*theta). Since r is the measure ot is radius, and the theta is it argument (angle). The complex notation is used for its convenience when adding vectors (as is AC circuits)
That is the theory.
I am inserting a clipping from the book to show you how to convert between polar and rectangular coordinates.

can't transform from polar to rectangular - d2af7da.jpg

Posted on Oct 16, 2009

  • k24674 Oct 16, 2009

    OOPS. Typos
    equivalent instead of equaivalent;
    Since r is the measure of its radius instead of Since r is the measure ot is radius.

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