Q. 213.8( 5 Votes )

# Find the principa

Answer :

Let, z = -2i

Let 0 = rcosθ and -2 = rsinθ

By squaring and adding, we get

(0)2 + (-2)2 = (rcosθ)2 + (rsinθ)2

0+4 = r2(cos2θ + sin2θ)

4 = r2

r = 2

cosθ= 0 and sinθ=-1

Since, θ lies in fourth quadrant, we have Since, θ (-π ,π ] it is principal argument.

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