If cos θ1 + cos θ2 + cos θ3 = 3, then what is sin θ1 + sin θ2 + sin θ3

If cos θ1 + cos θ2 + cos θ3 = 3, then what is sin θ1 + sin θ2 + sin θ3 equal to?

  1. 0
  2. 1
  3. 2
  4. 3

Answer

The maximum value of cos θ can be 1, when θ = 0°.

So, to get cos θ1 + cos θ2 + cos θ3 = 3

θ1 = θ2 = θ3 = 0°

sin θ1 + sin θ2 + sin θ3 = 0

The correct option is A.