Q31 of 66 Page 91

Find z if |z| = 4 and arg (z) = 5π/6.

Explanation:


Given |z| = 4 and arg (z) = 5π/6


Let z = |z| (cos θ + i sin θ) where θ = arg (z)




= -2√3 + 2i


∴ z = -2√3 + 2i


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