Arun
Last Activity: 6 Years ago
The question is that we have to find the value of tan( 2tan
-1x + cot
-1x ) at x = 2.
So, we can rewrite the question as :
tan( tan-1x + tan-1x + cot-1x )
Since we know that tan
-1x + cot
-1x =
Therefore, the question now becomes :
tan(
+ tan
-1x )
If you see this looks like tan( a + b ) formula , where a =
and b = tan
-1x
Therefore, solving using the formula above we will get,
=
= 0
This is your answer.
Hope this will help you !