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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.

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Please help! I’ll make you brainliest

vagabundo [1.1K]

Answer:

w = 21

Step-by-step explanation:

Given that,

game 1 game 2

Points 12 18

Shots 14 w

One proportion is : $\dfrac{12}{14}=\dfrac{6}{7}$

Other proportion is : $\dfrac{18}{w}$

So,

$\dfrac{6}{7}=\dfrac{18}{w}\\\\w=\dfrac{7\times 18}{6}\\\\w=21$

So, the value of w is equal to 21.

6 0

2 years ago

Question Find the value of x. x=

ira [324]

Answer:

x= 60° degree

Step-by-step explanation:

180°-40°= 140°

140= x+ x+ 20

140 -20 =2x

2x = 140 - 20

2x = 120

x = 60°

8 0

2 years ago

A nutrition laboratory tested 25 "reduced sodium" hotdogs of a certain brand, finding that the mean sodium content is 310 mg wit

inessss [21]

Answer:

The 95% confidence interval is $295.9 < \mu< 324.1$

A 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

Step-by-step explanation:

From the question we are told that

The sample size is $n = 25$

The mean is $\= x = 310 \ mg$

The standard deviation is $\sigma = 36 \ mg$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

=> $\alpha = 5\%$

=> $\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the value is

$Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

substituting values

$E = 1.96 * \frac{36 }{\sqrt{25} }$

$E = 14.1$

The 95% level of confidence interval is mathematically represented as

$\= x - E < \mu$

substituting values

$310- 14.1 < \mu< 310+ 14.1$

$295.9 < \mu< 324.1$

The 95% level of confidence mean that there is 95% chance that the true population mean will be in this interval

6 0

3 years ago

Determine whether the data described are qualitative or quantitative. The maximum speed limit on interstate highways.

dalvyx [7]

The answer is B: Quantitative

6 0

3 years ago

MARK BRAINIEST The base of a triangle is 7 3/4 inches, and the height is 4 2/3 inches. What is the area of the triangle? A) 14 4

Keith_Richards [23]

Short Answer: B
Remark
The area of any triangle is
A = 1/2 b * h
b = 7 3/4
h = 4 2/3

Step one
Convert all fractions to improper fractions.

7 3/4 = (28 + 3) / 4 = 31/ 4

4 2/3 = (12 + 2) / 3 = 14/3 Now multiply

Step Two
Multiply
Area = 1/2 * 31/4 * 14/3 Multiply the numerators together and then the denominators.
Area = (1 * 31 * 14) / (2 * 4 * 3) = 434 /24

Step 3
Convert this to a whole number + a fraction

Area = 18 + 0.08333333 You already have your answer. It is B because only B gives an answer of 18. But you can get the rest of

Let x = 0.083333333
100 x = 8.3333333333
x = 0.0833333333 Subtract
99 x = 8.25 Divide by 3 on both sides.
33 x = 2.75 Divide by 11
3x = 0.25
x = 0.25/3 Multiply top and bottom by 4
x = 1 / 12

The answer is 18 1/12.

3 0

2 years ago