Question

Represent the complex numbers root 3+i
in polar form​

Answer 1

Given Z=√3+i ..... (1)

Let, Polar form be

Z= r(cos theta +sin theta) .... (2)

From (1) and (2) ,,,,,

√3+i = r(cos theta+sin theta)

√3+i= r cos theta + I rsin theta

Comparing real part :-

√3= r cos theta

Squaring both side :-

(√3)²=(r cos theta) ²

3=r² cos ² theta ......(3)

Comparing imaginary part :-

1=r sin theta

squaring both sides,,,

(1)²=(r sin theta) ²

1= r²sin²theta ........ (4)

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