How to prove that (tan b / tab a) > (b/a) whenever 0 < a < b < π/2?
I am able to show that tan x > x for 0 < x < π/2 but this doesn't seems to get me through to the final conclusion I'm looking for.
I am able to show that tan x > x for 0 < x < π/2 but this doesn't seems to get me through to the final conclusion I'm looking for.
1 Answer
Aug 7, 2017
Consider the function:
we have that:
Now, as
and
so that the function is strictly increasing and:
As for