Cartesian , Polar and Exponential FormHelp needed thanks .

[mikecrush]

Express -2(cos pai/4+i sin pai/4 ) in Cartesian , Polar and Exponential form ?

how can i convert this : - 2 (cos pai / 4 + i sin pai / 4 ) to Cartesian , Polar and Exponential form ?

Thank you very much

 

[lanedance]

hi mikecrush - any ideas on how to try & solve it?

worth starting by having a look at the definition/properties of complex exponentials

 

[Elucidus]

So the number is $-2(\cos \pi/4 + i \sin \pi/4)$.

Do you know what the definitions of Cartesian, Polar, and Exponential forms are?

You may need the following equations:

$$\begin{array}{c}x=r\cos \theta \\ <br /> y=r \sin \theta \\<br /> x^2 + y^2 = r^2 \\<br /> \tan \theta = \frac{y}{x}\\<br /> e^{i \theta} = \cos \theta + i \sin \theta<br /> \end{array}$$​

--Elucidus