A geometry problem by Naren Bhandari

Geometry Level pending

$\log(\cot30^\circ)\times\log(\cot31^\circ) \times\log(\cot 32^\circ) \times\cdots \times \log(\cot50^\circ) = \, ?$

1 solution

Md Zuhair
Jan 29, 2017

This sum is not a brain teaser , But the solution is,

$log (\cot 31$ ) x $log (\cot32)$ x..... $log (\cot 45)$ x $log (\cot 46)$ x ,... $log (\cot 50)$

Now $\cot 45$ = $1$ And $\log 1 = 0$ Hence Anything multiplied by $0$ is a 0.

hence Whole Product = $\boxed{0}$