已知sinx=1/3,x∈(90,180),求sin(2x-45)和cos(2x+30),
问题描述:
已知sinx=1/3,x∈(90,180),求sin(2x-45)和cos(2x+30),
答
cosx=-2√2/3sin2x=2sinxcosx=-4√2/9 cos2x=±7/9当cos=7/9时 sin(2x-45)=sin2xcos45-sin45cos2x=-4√2/9×√2/2-√2/2×7/9=-4/9-7√2/18当cos=-7/9时 sin(2x-45)=sin2xcos45-sin45cos2x=-4√2/9×√2/2+...