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>
When you plug 2 in for x, the equation equals 1. The easiest way to go about this is solving the numerator then the denominator. The denominator was equal to 3 and the numerator was equal to 3, thus making 3/3. This equals 1.
I need more info on this ? to answer.
<u>Answer:</u>
<u>Step-by-step explanation:</u>
The sum of interior angles of a quadrilateral is 360°.
If we consider the measure of one of the unknown angles to be
°, we can set up the following equation:

Now we can solve for
:
⇒ 
⇒
[subtracting 192° from both sides]
⇒ 
⇒
[dividing both sides by 2]
⇒ 
Therefore, the other two angles each have a measure of 84°.
The DVD player that originally cost $300 now costs 0.82*300, or $246.