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y=sin(x+7π/12)-sin(x+π/12)的最大值

题目详情
y=sin(x+7π/12)-sin(x+π/12)的最大值
▼优质解答
答案和解析
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