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koban [17]
3 years ago
12

What is the difference between arctan and inverse tan?

Mathematics
2 answers:
posledela3 years ago
7 0
The arc tangent of x is defined as the inverse tangent function of x when x is real. When the tangent of y is equal to x. Then the arc tangent of x is equal to the inverse tangent function of x, which is equal to y. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarifications 
boyakko [2]3 years ago
5 0
Hello,
It is not the same function.

arctan (tan(x))=x

1/tan(x) * tan(x)=1

in the file jointed,
 arctan x is in blue
1/tan x in red.

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How do I do this, I don't understand how to set up the problem.
Sedaia [141]
X is 65 because there is a theorem saying that when a transversal crosses two parallel lines, the corresponding angles are congruent. Since x is the other side of the corresponding angle of 115, you have to do 180-115, since a straight line is 180°.
4 0
3 years ago
Which of the following conclusions can be made based on the scatterplot shown below?
nydimaria [60]

Answer: There is a positive correlation between plant growth and the time spent in light.

Step-by-step explanation:

Since, According to the relation between two variables, there are three types of correlation in the scatter plot,

Positive correlation: In which, the value of dependent variable, y increases with increasing the value of independent variable, x.

Negative correlation: In which, the value of dependent variable, y decreases with increasing the value of independent variable, x.

No correlation: In which there is no relation between the independent and dependent variable.

Here, the time spent in light is the independent variable and plant growth is the dependent variable.

And, when we examine the given graph, we found that with increasing the time spent in light the growth of the plant is increasing.

Thus, In the given scatter plot there is a positive relation between the plant growth and the time spent in light.

⇒ First Option is correct.


7 0
3 years ago
Read 2 more answers
There are 25 paper plates in a package how many packages are needed if 160 students are to attend a picnic​
Luda [366]

Answer:

135

Step-by-step explanation:

you subtract 160 from 25

you get 135

to check you do 135 + 25 and you get 160

6 0
3 years ago
Read 2 more answers
Need help factoring this binomial: x^4-1?
natima [27]
Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.

We have:

(x^2+1)(x^2-1)=x^4-1

In addition:

(x-1)(x+1)=x^2-1, so we have:

(x^2+1)(x+1)(x-1)

As our complete factorization.
5 0
4 years ago
Read 2 more answers
find the area of the isocele triangle formed by the points of intersection of parabolas y=-x^2+9 and y=2x^2-3 and the origin
leonid [27]

Answer:

10\ \text{sq. units}

Step-by-step explanation:

The parabola's are

y=-x^2+9

y=2x^2-3

So

-x^2+9=2x^2-3\\\Rightarrow 12=3x^2\\\Rightarrow \\\Rightarrow x=\sqrt{\dfrac{12}{3}}\\\Rightarrow x=\pm 2

y=-x^2+9=-(2)^2+9\\\Rightarrow y=5

y=-(-2)^2+9=5

So, the points at which the parabola's intersect each other is (2,5) and (-2,5)

The three points of the triangle are (2,5), (-2,5) and (0,0)

Area of a triangle is given by

A=\dfrac{1}{2}[x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2)]\\\Rightarrow A=\dfrac{1}{2}[2(5-0)+(-2)(0-5)+0(5-5)]\\\Rightarrow A=10\ \text{sq. units}

Area of the triangle formed is 10\ \text{sq. units}.

3 0
3 years ago
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