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}
4/6 divided by 2/6 is 2.
you multiply the 4/6 by 6/2 to get 24/12. You then simplify it and get 2 as your answer.
Answer:
the = symbol
Step-by-step explanation:
there are 16 oz in a pound
Answer:
The perimeter of the figure = 9.5 cm
Step-by-step explanation:
<em>Note: You probably missed to add the figure, but after a little research I found and am attaching the figure. I have answered your question based on the reference of that figure. But, I hope you would learn the concept so that you could solve any question based on this concept. So, please check the figure.</em>
<em>Solution:</em>
The perimeter of the figure is the sum of all the sides of the given figure as shown in the attached figure.
So, here is the formula to calculate the perimeter.
<em>Perimeter </em>=<em> AB + DE + BC + AE + BC </em>
As AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm
Therefore,
<em>Perimeter</em> = 1 3/4 + 1 1/4 + 13/10 + 1 1/5 ∵ AE + BC = 1 1/5
= (130 + 110 + 52 + 88) / 40
= 380/40
= 9.5 cm
So, the perimeter of the figure is = 9.5 cm
Keywords: perimeter
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Answer:
7 : 15 : 9
Step-by-step explanation:
The GCF is 8:
56/8 = 7
120/8 = 15
72/8 = 9
