#### dolina dahani

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- Thread starter dolina dahani
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In my experience (western mathematics) there are two forms of a complex number, the rectangular and the polar form.result"in algebraic and trigonometric form", that doesn't mean they require you to do theworkin a particular form. You do what's easiest, and then give them the form they want. They're teaching you to think that way. (I suppose "algebraic form" means 'a + bi".)

I suspect that algebraic, \(a+bi\), forms are what we know as the rectangular form.

Also, what we call the polar form is also known as trigonometric form.

I have this standard post:

\( \arg(x + yi) = \left\{ {\begin{array}{{rl}} {\arctan \left( {\frac{y}{x}} \right),}&{x > 0} \\ {\arctan \left( {\frac{y}{x}} \right) + \pi ,}&{x < 0\;\& \;y > 0} \\ {\arctan \left( {\frac{y}{x}} \right) - \pi ,}&{x < 0\;\& \;y < 0} \end{array}} \right. \)