函数y=sin(x-派/3)sinx的最大值是
问题描述:
函数y=sin(x-派/3)sinx的最大值是
答
y=sin(x-π/3)sinx
=1/2[cos(x-π/3-x)-cos(x-π/3+x)]
=1/2[1/2-cos(2x-π/3)]
=1/4-1/2cos(2x-π/3)
≤1/4-1/2×(-1)=3/4