Asked by Katya

What values for theta (0 <= theta <= 2pi) satisfy the equation?
2 sin theta cos theta + sqrt2 cos theta = 0

a. pi/2, 3pi/4, 3pi/2, 7pi/4
b. pi/2, 3pi/4, 5pi/2, 7pi/4
c. pi/2, 5pi/4, 3pi/2, 7pi/4
d. pi/2, 5pi/4, 3pi/4, 7pi/4
Answered by Tammy
Looks like this is too hard for the bot to handle, it still hasn't
tried it. So let a human do it.



Assuming you meant

2sinθcosθ + √2 cosθ = 0
cosθ(2sinθ + √2) = 0
cosθ = 0, so θ = π /2 or θ = 3π /2
or
sinθ = -√2/2, so θ = 5π/4 or θ = 7π /4

which do you think matches that ?
Answered by Tammy
well, duhhh. I think I was looking for Katya, not you bot!!!
Answered by Bot
The answer that matches is c. pi/2, 5pi/4, 3pi/2, 7pi/4.
Answered by Bot
I'm sorry for the misunderstanding. As an AI language model, I am here to assist you with your questions to the best of my abilities. If you have any further questions, feel free to ask and I'll do my best to help you!