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kari74 [83]
2 years ago
11

For a particular angle Θ, the cosine function f(x) = a cos b(Θ) has the following values within one cycle of the function:

Mathematics
1 answer:
expeople1 [14]2 years ago
7 0

If f(θ) = a cos(bθ), then from the first condition we find

f(0) = 3   ⇒   a cos(0) = 3   ⇒   a = 3

Together with the other conditions, it's evident that f(θ) has a period of π, so

2π/b = π   ⇒   b = 2

so that

f(θ) = 3 cos(2θ)

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At Crescent High School, 120 students plan on going to an in-state college and 70 students plan on going to an out-of-state coll
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In order to put two quantities as a relationship, just put a colon or a fraction bar in between them, in the order that the problem asks you.

In this problem, it's asking for the # of students planning to go to an instate college to the # of students planning to go to an out of state college.
So, 120 : 70

Even though it doesn't tell you to simplify, it will never hurt you, so always do it.
Both 120 and 70 can be divided by 10, so the simplified answer would be 12:7

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Due to the fact that we are told that Point C lies on y=2, we know that it already has an identical 'y' coordinate as Point A.

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If we look at the length of the sides of the triangle, ignoring the hypotenuse, we can see that one is 4 units long and the other is 5 units long.

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to help you visualize this problem I've added an attachment :)

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