Question

Express 1-sqrt3i in the polar form.

Answer 1

In polar form expressed as 2(cos300+isin300)

Explanation:

Let Z=1−(√3)i ; Modulus |Z|=(√12+(−√3)2)=2;tanθ=√−31ortanθ=√−3Argument θ=tan−1(√−3)=−600or3000.

In polar form expressed as |Z|⋅(cosθ+isinθ)or2(cos300+isin300)