Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.

Mathematics

1 answer:

Blizzard [7]2 years ago

4 0

Answer:

12/13

Step-by-step explanation:

We know that cosine is the adjacent side divided by the hypotenuse in a right triangle.

The adjacent side to angle C is BC

The hypotenuse is AC because it is opposite to the right angle

So...

cosine is (BC)/(AC)

36/39

12/13

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2. Determine if either of the following equations are functions? Draw the graphs and explain how

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Answer:

Both equation represent functions

Step-by-step explanation:

The function is the relation that for each input, there is only one output.

A. Consider the equation

$y=-\dfrac{3}{5}x+2$

This equation represents the function, because for each input value x, there is exactly one output value y.

To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.

When you intersect the graph of the function $y=-\dfrac{3}{5}x+2$ with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.

B. Consider the equation

$y=x-x^2$

This equation represents the function, because for each input value x, there is exactly one output value y.

When you intersect the graph of the function $y=x-x^2$ with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.