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2 函数y=3sin(x+10度)+5sin(x+70度)的最大值是( )
人气:485 ℃ 时间:2019-10-02 09:01:25
解答
y=3sin(x+10)+5sin(x+70) =3sin(x+10)+5sin(x+10+60) =3sin(x+10)+5sin(x+10)*cos60+5cos(x+10)sin60 =11/2*sin(x+10)+5√3/2*cos(x+10) 所以最大值=√((11/2)^2+(5√3/2)^2) =√(121/4+75/4) =√(196/4) =√49 =7...
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