将2cos x-2sin x化成Asin(x+φ的形式)
问题描述:
将2cos x-2sin x化成Asin(x+φ的形式)
答
2cosx-2sinx
= -2√2*(√2/2*sinx-√2/2*cosx)
= -2√2*[sinx*cos(π/4)-cosx*sin(π/4)]
= -2√2*sin(x-π/4) .