(sina-cosa)^2=1/25 sin^2a+cos^2a-2sinacosa=1/25Sin^2a+cos^2a=1sinacosa=12/25消去sina或cosa可解二元一次方程求得:(0≤a≤π)Sina=4/5 cosa=3/5Sin(2a-π/4)=√2/2(sin2a-cos2a)=31√2/50