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hi mates!
please click on this photo and tell me the answer step by step
hurry up
I will mark you as brainliest if your answer will be correct
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Answer:
2π/3
Step-by-step explanation:
Given,
z = (1 + i√3)²
⇒ 1² + (√3i)² + 2 * 1 * √3i
⇒ 1 + 3i² + 2i√3
⇒ 1 - 3 + 2i√3[∵i² = -1]
⇒ -2 + 2i√3
From this Let,
a = -2, b = 2√3
Then,
tanα = |b/a|
⇒ tanα = |2√3/-2|
⇒ tanα = |-√3|
⇒ α = 60° or π/3
∴ z lies in 2nd quadrant.
arg(z) = θ
⇒ π - α
⇒ π - π/3
⇒ 2π/3
Hope it helps!