Question

can anyone solve this step by step​

Answer 1

Step-by-step explanation:

Let z = -1 + √3

=>  Z = -1 + i√3 = re^i∅

|Z| = r = √(-1)² + (√3)²

         = √1 + 3

         = 2

Then,

tanα = |Imaginary(Z)/Real(Z)|

       = |√3/-1|

       = √3

=> α = tan⁻¹√3 = π/3

Thus,

Arg Z = ∅ = π - α

               = π - π/3

               = 2π/3

Hence, the value of ∅ = 2π/3

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