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The exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5
<h3>Solving trigonometry identity</h3>
If an angle of measure 120 degrees intersects the unit circle at point (-1/2,√3/2), the measure of cos(120) can be expressed as;
Cos120 = cos(90 + 30)
Using the cosine rule of addition
cos(90 + 30) = cos90cos30 - sin90sin30
cos(90 + 30) = 0(√3/2) - 1(0.5)
cos(90 + 30) = 0 - 0.5
cos(90 + 30) = 0.5
Hence the exact value of cos120 if the measure 120 degrees intersects the unit circle at point (-1/2,√3/2) is 0.5
Learn more on unit circle here: brainly.com/question/23989157
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Answer:
The volume of this cylinder is 9184.5 cubic feet.
Step-by-step explanation:
The area of a circle is
and the volume of a cylinder with that base is just that area times the height:

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

Next, you can use that radius to calculate the area of the base:

Finally, multiply that by the height to find the volume of the cylinder:

The volume of this cylinder is 9184.5 cubic feet.
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