Our article as the title of the inverse tangent function ,here we are going to see first what do you mean the tangent. Tangent is defined as the ration of the opposite side length to the adjacent ,so the inverse of the tangent is called as the cot .The definition of cot is same as the tangent ,but its inverse ,so the cot is defined as the ration of the adjacent length to the opposite side length .
Right angle triangle:
From the above right angle triangle we can write the InverseTangent Function
Tan x = opposite / adjacent
Tangent x = 1 / cot x
tangent x = sin x / cos x
If the function is written as y = f (x) = tan x in terms of tangent draw the graph of the tangent function.
from the graph we can find the time period of the tangent x is pi the range of the tangent x will be the all values of x and also we can find the time interval from the above graph .the graph of the tangent function is not as continuous graph it was the discontinuous but the graph of the sin and coos are the continues function .we can see the cap between the curves but there is no cap in the sine and the cosine function.
Tangent inverse function:
we can draw the graph of tangent inverse function ,the tangent inverse function is just opposite of the tangent function graph we can tell the domain and range of the tangent function using the graph ,it will be shown as below with the table
Tangent inverse function will be called as the “arc tangent “ or we called as the “arc tan” it will be denoted by the tan^-1.we can see the gap in between the curve of inverse tangent t function ,the gap is called as the discontinuities .we can see this king of cap in the secant and also the cosecant x
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formula for the inverse tangent function :
derivative formula for the inverse tangent function :
integration formula for the inverse tangent function :
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