1.

Tanx^cotx is greater or cotx^tanx

Answer»

From 0 to 90° , TANX increase from 0 to infinity
cot x decrease from infinity to 0
so when x is near ZERO tanx^cotx will be approx. zero but when tanx increase , although cot x decrease it does not if it's increase and FINALLY tan x^cot x reaches infinity

for cot x^tanx near 0 its VALUE is approx. 1 and when angle increase cot x^increse at faster rate but at 45 the both have same value
We may bundle it up in intervals
from 0 to 45 second is GREATER and from 45 to 0 first is greater


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