已知向量a=(根号2,-2),b=(sin(π/4+2x),cos2x)(x属于R).设函数fx=a*b,求f(-π/4)的值,

问题描述:

已知向量a=(根号2,-2),b=(sin(π/4+2x),cos2x)(x属于R).设函数fx=a*b,求f(-π/4)的值,
(2)求f(x)的最大值及对应的x值

向量a=(√2,-2),b=(sin(π/4+2x),cos2x)(1)f(x)=a●b=√2sin(2x+π/4)-2cos2x=√2(sin2xcosπ/4+cos2xsinπ/4)-2cos2x=sin2x+cos2x-2cos2x=sin2x-cos2x=√2(√2/2sin2x-√2/2cos2x)=√2sin(2x-π/4)f(-π/4)=√...