Here’s the answer for the first question and the second one stays 10k
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>
<span>Standard deviation shows the distribution present in a set. Range can be used to approximate this property.
Therefore, Set b (100, 140, 150, 160, 200 10, 50, 60, 70, 110) has the largest standard deviation because it has a range of 190 (i.e. 200 - 10)</span>