Multiply the numerator and denominator of this complex number by j
z=2j1=2j1⋅jj=2j2j=2⋅(−1)j=−21j So in a rectangular form we have
z=x+jy=−21j where
x=0,y=−21 In polar form the complex number z is written as
z=r(cosθ+jsinθ) where
r=∣z∣=x2+y2=02+(−21)2=41=21θ=arctan(xy)=arctan(0−1/2)=arctan(−∞)=−2π
or otherwise
θ=−2π+2π=23π Substituting the obtained values, we get the polar form of this z
z=21(cos(23π)+jsin(23π))
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