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
Was this answer helpful ?
:
C
Here -1+√−3=reiθ ⇒ -1+i√3=reiθ
=rcosθ=-1 And rsinθ=√3
Hence tanθ=-√3 ⇒tanθ=tan2π3.Hence θ=2π3
Was this answer helpful ?
More Questions on This Topic :
Question 8. Real part of eeiθ is....
Question 9. If -1+√−3=reiθ, then θ is equal to....
Question 10. 1−i1+i is equal to....
Submit Solution