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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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The local parts shop buys a machine that costs $500,000. Its value depreciates exponentially each year by 10%. What is the machi
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If you would like to know what is the machine's value after 5 years, you can calculate this using the following steps:

1 year: $500,000 - 10% * $500,000 = 500,000 - 10/100 * 500,000 = $500,000 - $50,000 = $450,000

2 years: $450,000 - 10% * $450,000 = 450,000 - 10/100 * 450,000 = $450,000 - $45,000 = $405,000

3 years: $405,000 - 10% * $405,000 = 405,000 - 10/100 * 405,000 = $405,000 - $40,500 = $364,500

4 years: $364,500 - 10% * $364,500 = 364,500 - 10/100 * 364,500 = $364,500 - $36,450 = $328,050

5 years: $328,050 - 10% * $328,050 = 328,050 - 10/100 * 328,050 = $328,050 - $32,805 = $295,245

The correct result would be $295,000.
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