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3 years ago

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.

You might be interested in

Please help and thank you

Gekata [30.6K]

Answer:

A. $11\frac{5}{8}\textrm{ inches}$

Step-by-step explanation:

Given:

The regular polygon is a decagon having 10 sides.

Perimeter of the given polygon is,

$P=116\frac{1}{4}\textrm{ inches}=116.25\textrm{ inches}$ .

We know that, perimeter of a regular polygon of $n$ sides is given as,

$P=na$ where, $a$ is the length of each side.

Here, $n=10,P=116\frac{1}{4}\textrm{ in}$

Plug in these values and solve for $a$ . This gives,

$P=na\\116\frac{1}{4}=10a\\116.25=10a\\a=\frac{116.25}{10}=11.625=11+\frac{625}{1000}=11+\frac{5}{8}=11\frac{5}{8}\textrm{ in}$

Therefore, the side length of the given polygon is $11\frac{5}{8}\textrm{ inches}$

3 0

3 years ago

In New York State, the minimum wage has grown exponentially. In 1996 the minimum-wage was $1.25 an hour and in 2015 it was $8.75

Usimov [2.4K]

1.25 is the answer I think!

5 0

4 years ago

4. Solve the following system of equations for x.

Ber [7]

We are given the system of equations -:

$\large{ \begin{cases} 2x + 3y = - 14 \\ y = 6x + 22 \end{cases}}$

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

$\large{2x + 3(6x + 22) = - 14}$

Expand 3 in the expression so we can combine like terms and isolate x-variable.

$\large{2x + 18x + 66 = - 14}$

Then combine like terms.

$\large{20x + 66 = - 14}$

Get rid of 66 from the left side by subtracting both sides by itself.

$\large{20x + 66 - 66 = - 14 - 66} \\ \large{20x = - 80}$

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

$\large{ \frac{20x}{20} = \frac{ - 80}{20} }$

Simplify to the simplest form.

$\large{x = - 4}$

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0

3 years ago

A recipe uses 100 g of flour, 100 g of sugar and 80 g of butter.

Maslowich

Answer:

600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes

120 cakes could be made with 1 kg of butter

Step-by-step explanation:

Here, 72 cakes = 6 dozen cakes

( since 12 cake = 1 dozen cake ).

a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).

• Butter - 150/1.5 = 100 g per dozen

For 6 dozen :

100g x 6 = 600 g

• Flour - 500/1.5 = 333.33 g per dozen

For 6 dozen :

333.33 g x 6 = 2000 g

• Sugar - 50/1.5 = 33.33 g per dozen

For 6 dozen :

33.33 x 6 = 200 g

• Currants - 100/1.5 = 66.67 g per dozen

For 6 dozen :

66.67 x 6 = 400 g

b. It is given that,

150g butter is required to make = 18 cakes

Then by using unitary method, we get,

1 g of butter is required to make = 18/150 cakes

Since, 1 Kg = 1000 g

Then,

1000 g of butter is required to make = (18/150) × 1000

= 120 cakes

Hence, with 1 kg of butter 120 whole cakes can be made.

Hope this answer helps you :)

Have a great day :)

Mark brainliest

4 0

3 years ago

Read 2 more answers

When constructing an inscribed circle, which point is the center of the circle?

lesantik [10]

Answer:

D. The intersection of the angle bisectors.

Step-by-step explanation:

The incenter is equidistant from each of the sides of the triangle. An angle bisector is the set of points equidistant from the sides, so the incenter is the place where the angle bisectors meet.

6 0

3 years ago