MathDB
Trig Summation

Source: AIME 2 2000 #15

December 9, 2005
trigonometryinductionAMCAIMEMATHCOUNTSfunction

Problem Statement

Find the least positive integer nn such that 1sin⁡45∘sin⁡46∘+1sin⁡47∘sin⁡48∘+⋯+1sin⁡133∘sin⁡134∘=1sin⁡n∘. \frac 1{\sin 45^\circ\sin 46^\circ}+\frac 1{\sin 47^\circ\sin 48^\circ}+\cdots+\frac 1{\sin 133^\circ\sin 134^\circ}=\frac 1{\sin n^\circ}.
Back to ProblemsView on AoPS