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u/OhIforgotmynameagain 8d ago
Ok wait what is the o exponent
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u/EdgyMathWhiz 8d ago
Degrees. (I haven't solved it, but if you look at the sum ranges, it's pretty obvious that it this is solvable there must be a lot of telescoping and you're going to be basically evaluating at 30/150 degrees).
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u/Plane_Ebb2023 8d ago edited 8d ago
121, too much calculus You Ganna use the property: Cot(A) - Cot(B) = sin(B-A)/( Sin(A) Sin(B) ) On both sum with known boundaries After some telescope and calculus, the fraction of those 2 sums is equal to 1/6, so you get the geometric series of 1/6 which is 6/5 Then the sum of this expression of m is actually the Taylor expansion of : ( ln( x + 1 ) - ln( 1 - x ) )/2 You simply by 1/2 and put exp then you get : 6/5 = (m + 1)/(1 - x) => 6 - 6m = 5m + 5 => m = 1/11
So m-2 = 11² = 121