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:
Option B
Step-by-step explanation:
Don't trust answers teachers don't bother to spell correctly. Plus, finding the 100th term is very easy.
However, the explicit formula will take a long time to use, because it's explicit.
Option C is just wrong. You're supposed to multiply in the recursive formula.
Option D might be correct, but never trust those answers. Teachers do that to trip you up
Answer:
Remove parentheses. xy³
z^4
4Step-by-step explanation:
Answer:

Step-by-step explanation:
given
45 = 25m + b ( isolate the term in m by subtracting b from both sides )
45 - b = 25m ← divide both sides by 25
= m