# Maximum Value of trig

Geometry Level 3

$\large \prod_{m=1}^n \cos(A_m)$

For angles $$0\leq A_1,A_2,A_3,\ldots ,A_n\leq 90^\circ$$, find the maximum value of the product above with the restriction of $$\displaystyle \prod_{m=1}^n \cot(A_m) = 1$$.

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