MathDB
Triangle Trig

Source:

February 21, 2006
trigonometrygeometrytrig identitiesLaw of CosinesLaw of Sines

Problem Statement

Let aa, bb, cc be the three sides of a triangle, and let α\alpha, β\beta, γ\gamma, be the angles opposite them. If a2+b2=1989c2a^2+b^2=1989c^2, find cotγcotα+cotβ. \frac{\cot \gamma}{\cot \alpha+\cot \beta}.