已知 f(x)=cos²(x+π/3)-1/2g(x)=1/2sin(2x+2π/3) 求g(x)经怎样变换的f(x)
问题描述:
已知 f(x)=cos²(x+π/3)-1/2g(x)=1/2sin(2x+2π/3) 求g(x)经怎样变换的f(x)
还有h(x)=f(x)-g(x)
求h(x)最大值 及相应的x
答
f(x)=cos²(x+π/3)-1/2 = (1/2)·[2cos²(x+π/3)-1]= (1/2)·cos(2x+2π/3).二倍角公式g(x)变换到f(x)可用的方式:1.g(x)向左平移 Kπ + π/4 个单位2.g(x)向右平移 Kπ + 3π/4 个单位h(x) = (1/2)...