Question
If -1+√−3=reiθ, then θ is equal to
Answer: Option C
:
C
Here -1+√−3=reiθ ⇒ -1+i√3=reiθ
=rcosθ=-1 And rsinθ=√3
Hence tanθ=-√3 ⇒tanθ=tan2π3.Hence θ=2π3
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:
C
Here -1+√−3=reiθ ⇒ -1+i√3=reiθ
=rcosθ=-1 And rsinθ=√3
Hence tanθ=-√3 ⇒tanθ=tan2π3.Hence θ=2π3
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