Relations and Functions

Relations and Functions

Question

Convert each of the complex numbers given in the Polar form.

-3


Answer

Here, z = - 3 = 3 (-1)   = space space space space space space space space space space 3 open square brackets cosπ space plus space straight i space sinπ close square brackets
                                = space space space space space space space space space space straight r open parentheses cos space straight theta space plus space straight i space sin space straight theta close parentheses
where     r =3,   space space space space space straight theta space equals space straight pi
i.e.    space space space space space space space space space space space open vertical bar straight z close vertical bar equals space 3 comma space arg space left parenthesis straight z right parenthesis space equals space straight pi

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