Tangent Inverse Function

Here we are going to see the tangent inverse  function ,first of all we are  ground to see the definition of the tangent function it is defined as the ratio between the length of the opposite value and the length of the adjacent value ,then we have to be defined as the inverse of the tangent function ,it is defined as the ratio between  the length of the adjacent value to the length of the opposite value ,it is used for finding the angle of the triangle and also the side length of the triangle


Understanding Tangent Line Problem is always challenging for me but thanks to all math help websites to help me out.

definition of inverse tangent function

We can explain the tangent inverse function with the help of the right angle triangle,

Here the right angle triangle are shown AB is the opposite side ,C is the hypotenuse value of the right angle triangle ,and BC is the adjacent value of the right angle triangle .so the formula of the tangent x will be shown as below ,

Tan x = opposite / adjacent

And the tangent x will be written s in terms of it is inverse function cot x,

Tangent x = 1 / cot x

We can write the tangent x with the sin x and the cos x function it will be shown as bellows,

Tangent x = sin x / cos x


First we are going to see the graph of the tangent function the we will see the graph of the inverse tangent function.



Using the graph we can find the amplitude and  the time period  the sin and the cos graph are  shown as the wave for  but  the tangent graph is show  as different we have to notice one thing here there is no cap between  the wave curve we called as the sin and the cos  but here we can see the gap ,so this j=kind of  gap is called as the discontinuity but Ian the sin curve we can not se the graph s o the sin curve are called as the continuous graph


My forthcoming post is on Odd Functions and cbse sample papers for class 10th will give you more understanding about Algebra.


Inverse tangent function:

Now we can see the graph of the inverse tangent function it is just opposite to the tangent function graph


We can call as the tangent inverse function will be “arc tangent “or “arc tan” here also we c a see the discontinuity the discontinuity will be present accept the sin and the cos