求函数y=cos2x+cos(2x-派/6)的最值
问题描述:
求函数y=cos2x+cos(2x-派/6)的最值
答
cosA + cosB = 2 cos((A+B)/2) cos((A-B)/2)
y = cos(2x) + cos(2x-π/6)= 2 cos(2x -π/12 ) cos(π/12) =2 cos(15°) cos(2x -π/12 )
max:2 cos(15°) = (√6 + √2) / 2
min:- 2 cos(15°)