y=sin(x+7π/12)-sin(x+π/12)的最大值

Question

y=sin(x+7π/12)-sin(x+π/12)的最大值

Answer 1

y=sin(π/2+x+π/12)-sin(x+π/12)
=cos(x+π/12)-sin(x+π/12)
=√2cos(x+π/12+π/4)
=√2cos(x+π/3)≤√2