已知Sin2α=4分之3,且45°

问题描述:

已知Sin2α=4分之3,且45°

Sin2α= 2sinαcosα= 3/4 (cosα-sinα)^2 = (cosα)^2 +(sinα)^2 -2sinαcosα = 1 -3/4 =1/4 45°

(cosα-sinα)^2=(cosα)^2+(sinα)^2-2sinα*cosα =1-sin2α=1/4 又由于45°