Answer:
To find the exact vale of atan(-sqrt(3)) we're going to need the help of a calculator
atan(-sqrt(3)) = -1.04719755 rads.
If you take a look at the important angles, you will notice that the arc is minus 60 degrees which equals -1.04716755 radians.
For this case we have:
Let p be the highest price of the TV that Meg can buy
We have to:
5% of p is given by:
So, we have:
Clearing p we have:
Thus, the highest price of the television that Meg purchases should be dollars.
Answer:
Answer: Choice B. sqrt(2)
Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how
tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1
Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long
a^2 + b^2 = c^2
(1)^2 + (1)^2 = c^2
2 = c^2
c^2 = 2
c = sqrt(2)
The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with
sec(theta) = hypotenuse/adjacent
sec(theta) = AC/AB
sec(theta) = sqrt(2)/1
sec(theta) = sqrt(2) which is why choice B is the answer
