Relations and Functions

Relations and Functions

Question

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

i

Answer

Here,    z = i  =  1.i = space space space space space space space space space space space space space space space space space space space space space space space space space space 1 open square brackets cos straight pi over 2 plus space straight i space sin straight pi over 2 close square brackets equals space straight r left square bracket cosθ space plus space straight i space sinθ right square bracket
where,        space space space space space space space space space space space space space space space straight r space equals space 1 comma space straight theta space equals straight pi over 2
i.e.                space space space space space space space space space space space space space space space space open vertical bar straight z close vertical bar space space space space equals space 1 comma space arg space left parenthesis straight z right parenthesis space equals space straight pi over 2

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