cosθ-sinθ=?

问题描述:

cosθ-sinθ=?
是cos(θ-π/4)吗?还是cos(θ+π/4)?

cos(θ-π/4)=根号2*cosθ+根号2*sinθ;
cos(θ+π/4)=根号2*cosθ-根号2*sinθ;
所以
cosθ-sinθ=1/(根号2)*cos(θ+π/4)