Let z₁ = -1 + √3 i and z₂ = -1 - i. The principal argument of a complex number lies in (-π, π]. What is the principal argument of the product z₁ z₂?

MathematicsHardHigh School (11–12)Algebra › Complex Numbers JEE Main JEE Advanced

Let $z_1 = -1 + \sqrt3\,i$ and $z_2 = -1 - i$ . The principal argument of a complex number lies in $(-\pi, \pi]$ . What is the principal argument of the product $z_1 z_2$ ?

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