Question:
The complex number cosθ + i sinθ __________ be zero for any θ.
Solution:
z = cosθ + i sinθ can never be zero for any θ because z = 0
⇒ cosθ = 0 and sin θ = 0
Since no such value of θ exists
⇒ cosθ + i sinθ can never be zero.
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.