已知a=(根号sinx/2,cosx/2)b=(cosx/2,-cosx/2),函数f(x)=a*b

问题描述:

已知a=(根号sinx/2,cosx/2)b=(cosx/2,-cosx/2),函数f(x)=a*b
1 求f(x)的单调递增区间
2 若x属于(0,π/2),f(x)=-1/6,求cosx的值

a=(根号sinx/2,cosx/2)打漏.是a=(根号3sinx/2,cosx/2)f(x)=a*b=sin(x-π/6)-1/21.f(x)的单调递增区间:(2kπ-π/3,2kπ+2π/3) k∈Z2,sin(x-π/6)-1/2=-1/6,sin(x-π/6)=1/3,cos(x-π/6)=√8/3 (...