The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.
We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.
a) The cosine values repeat every 2π, so the general form of the smallest angle will be
... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ
b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is
... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ
c) Using these expressions with k=0, 1, 2, we get
... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}
Answer: =x4+3x3+2x2−4
Step-by-step explanation:
(x2+3x+2)(x2)−4
Distribute:
=(x2)(x2)+(3x)(x2)+(2)(x2)+−4
=x4+3x3+2x2+−4
-66, -52, - 48, -42
If you can have 2 medians (since there is only 4 numbers), it is -52 and -48
If you can only have one,then i believe you choose -50, because it is in between -48 and -52
hope this helps
Answer:
30 miles
Step-by-step explanation:
20 x 3 is 60 minutes
10 x 3 is 30 miles