题目
函数y=sin(x+10°)+cos(x+40°),(x∈R)的最大值是______.
提问时间:2020-09-14
答案
函数y=sin(x+10°)+cos(x+40°)
=sin(x+10°)+cos(x+10°+30°)
=sin(x+10°)+cos(x+10°)cos30°-sin(x+10°)sin30°
=
sin(x+10°)+
=sin(x+10°)+cos(x+10°+30°)
=sin(x+10°)+cos(x+10°)cos30°-sin(x+10°)sin30°
=
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