Convert the given complex number in polar form -3 and evaluate

Asked by Abhisek | 1 year ago |  66

1 Answer

Solution :-

The complex number is -3

Let rcosθ = -3 and rsinθ = 0

Squaring and adding

\( r^2cos^2θ + r^2sin^2θ = (-3)^2\)

\( r^2(cos^2θ + sin^2θ) =9\)

\( r^2=9\)

\( r=\sqrt{9}=3\)

3cosθ = -3 and 3sinθ = 0

cosθ = -1 and sin = 0

θ = π

-3 = rcosθ + irsinθ =

 3cosπ + i3sinπ 

= 3(cosπ + isinπ)

Required polar form

Answered by Pragya Singh | 1 year ago

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