Question

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What values for theta(0<_theta<_2pi) satisfy the equation?
2 sin theta cos theta + sqrt3 cos theta=0

A. pi/2, 4pi/3, 3pi/2, 5pi/3
B. pi/2, 3pi/4, 3pi/2, 5pi/3
C. pi/2, 3pi/4, 3pi/2, 5pi/4
D. pi/2, pi/4, 3pi/2, 5pi/3

Answer 1

A. pi/2, 4pi/3, 3pi/2, 5pi/3

Answer 2

How did you get that?

Answer 3

Just a second...

Answer 4

Is the sqrt(3) separate or with the cos(theta)? This is important. I calculated my result with the cos(theta) not with the sqrt(3)

Answer 5

Got it. Just a second...

Answer 6

It is a lot of steps.

Answer 7

Are you a 100% positive that is the answer?

Answer 8

@Blank 

Answer 9

Yes, I'm positive that the answer is A.

A. pi/2, 4pi/3, 3pi/2, 5pi/3
I checked with an online calculator. http://www.wolframalpha.com/input/?i=2+sin+theta+cos+theta+%2B+sqrt3+cos+theta%3D0+%2C+%280%3Ctheta%3C2pi%29