Cot^2x - cot^2x cos^2x
= cot^2x - {(cot^2x)(cos^2x)}
= cot^2x { 1 - cos^2x }
= cot^2x { sin^2x }
= (cos^2x/sin^2x) { sin^2x }
= cos^2x
Hello,
nice as problem.

Here x has a power of 5 as divider and a power of 2 as divider (in order to make a power of 10.



Numbers of dividers: (8+1)*(7+1)=9*8=72