Rewrite <span>2cos x + 1 = 0 as:
2 cos x = -1, and then cos x = -1/2
x must be in Quadrant II or Quadrant III, since the adj. side is negative.
Note that the angle 120 has adj. side -1 and hyp 2. So 120 degrees is one solution.
Now what about a possible 2nd solution, to be found in Quadrant III? That would be -120 degrees, which has the same terminal line as does 240 degrees.
No soap.
So, the solution is 120 degrees.</span>
That will be a line passing through the center and perpendicular to, a line joining the 2 points.
Let's check.
x = 5π/24
4x = 5π/6
cos 4x = cos(5π/6) = cos 150° = -√3/2
cos² 4x = (-√3/2)^2 = 3/4
4 cos² 4x -3 = 4 (3/4) - 3 = 0
Answer: TRUE
Answer: $210.75
Explanation: You multiply the price of the object by how many they buy.
So for the beams you calculate 3 x 45.25 and get 135.75. For the screws you multiply 6 x 12.50 and that equals 75. Then, for the total price you add the two together, so 135.75 + 75 = 210.75
Another way to do it is (3 x 45.25) + (6 x 12.50) = 210.75
