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kow [346]
2 years ago
5

Which describes the behavior of the function f(x)= tan^-1(x)?

Mathematics
1 answer:
Fantom [35]2 years ago
7 0

Answer:

Third Option

Step-by-step explanation:

We know that the function tan(x) is defined as y=\frac{sin(x)}{cos(x)}. Since the denominator is cos(x) then we know that  cos(x)=0  when x=\frac{\pi}{2}

We also know that the division by 0 is not defined. Therefore, the limit of y=tan(x) when "x" tends to \frac{\pi}{2} is infinite.

The function tan^{-1}(x) is the inverse of tan(x)

By definition, if we have a function f(x), its domain will be equal to the range of its inverse function f^{-1}(x). If f(3)=8, then f^{-1}(8)=3

This also happens for the function tan^{-1}(x)

If when x \to \frac{\pi}{2}, tan(x) \to \infty then when x \to \infty, tan^{-1}x \to \frac{\pi}{2}

Then, the answer is:

x \to \infty, f(x) \to \frac{\pi}{2}

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Hey i am not smart but what is <br> <img src="https://tex.z-dn.net/?f=83%5Cfrac%7B1%7D%7B3%7D%20minus%20%5Cfrac%7B2%7D%7B3%7D" i
Ray Of Light [21]
It would be 82 2/3 since 1/3 minis 2/3 would equal -1/3 you subtract that from 83 and get 82 2/3
6 0
3 years ago
Read 2 more answers
Reas the above and answer​
sergeinik [125]

Answer:

48cm^2

Step-by-step explanation:

You first find the area (l * w) of the first rectangle on the top.

4 * 2 is 8

Then you find the area of the rectangle on the bottom.

5 * 8 is 40

Finally you add the area's together.

48

6 0
3 years ago
Find the total surface area of this prism.
vovangra [49]
2.5 x 10 = 25 m^2
1.5 x 10 = 15 m^2
2 x 10 = 20 m^2
0.5 x 1.5 x 2 = 1.5 m^2 (2 times)
Total = 63 m^2
So just fill in 63.
7 0
3 years ago
I need help with #7 ?!!! <br> Btw #6 is correct
Musya8 [376]

Choice C for problem 6 is correct. The two angles (65 and 25) add to 90 degrees, proving they are complementary angles.

===========================================

The answer to problem 7 is also choice C and here's why

To find the midpoint, we add up the x coordinates and divide by 2. The two points A(-5,3) and B(3,3) have x coordinates of -5 and 3 respectively. They add to -5+3 = -2 which cuts in half to get -1. This means C has to be the answer as it's the only choice with x = -1 as an x coordinate.

Let's keep going to find the y coordinate of the midpoint. The points A(-5,3) and B(3,3) have y coordinates of y = 3 and y = 3, they add to 3+3 = 6 which cuts in half to get 3. The midpoint has the same y coordinate as the other two points

So that is why the midpoint is (-1,3)

7 0
2 years ago
What is the degree measure of an arc 4 pi feet long in a circle radius of a 10 foot radius
otez555 [7]
Circumference = 2 pi r = 20 pi
  corresponding to 360 degrees

so an arc of 4pi feet will have a degree measure of 5pi / 20pi  * 360 =  1/4 * 360 =  90 degrees
5 0
2 years ago
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