Good question

Question

sin theta1+sin theta2 +sin theta3=3 then

cos theta1+cos theta 2+cos theta 3=?

Answer 1

If sin theta1+sin theta2 +sin theta3=3...

 

The only way that this hypothesis can be true is if each theta is pi/2 radians because each individual term has to be 1. Then the sum of the cosines of those three angles would be zero.

 

Always FALSE.

Good question

sin theta1+sin theta2 +sin theta3=3