Factor out the cos<span>θ: </span>cosθ (2sin<span>θ + sqrt3) = 0 </span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0 </span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2. </span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to: </span></span>sin<span>θ = (-sqrt3)/2 </span><span><span>θ = 4pi/3, 5pi/3 </span></span><span><span>Therefore the answer is A. </span></span>
