Correct Answer: Option AThe next step in simplification will be to convert the squared term so that it no longer contains a square.
So, we are to simplify the term

Using the half-angle identity we can write:

Using this value, the equation becomes:
Therefore, option A is the correct answer.
<h3>
Answer: Choice B</h3>
Explanation:
Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.
Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.
Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.
Choice D is ruled out for similar reasoning as choice A. Recall that 
You need to use division.
Answer:
See below in bold.
Step-by-step explanation:
The cost of what he wants to buy = 4.25 + 0.89 + 10.99
= $16.13
a) He does have enough to buy everything.
b) He has 20 - 16.13 = $3.87 left over.
Answer: Hypotenuse is 12 inches
Step-by-step explanation: a^2+b^2=c^2
c^2=8^2+9^2
c^2=64+81
c^2=145
c=square root of 145
c=12.04