y=3sin(x-π/3) ,y=-3,x的取值集合

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y=3sin(x-π/3) ,y=-3,x的取值集合

y=3sin(x-π/3) ,y=-3,x的取值集合
y=3sin(x-π/3) ,y=-3,x的取值集合

y=3sin(x-π/3) ,y=-3,x的取值集合
x-π/3=2kπ+3π/2
x=2kπ+3π/2+π/3
x=2kπ+9π/6+2π/6
x=2kπ+11π/6

-3=3sin(x-π/3)
-1=sin(x-π/3)=sinx.cosπ/3-cosx.sinπ/3=1/2sinx-根号3/2cosx
1=-1/2sinx+根号3/2cosx=cos(x+π/3)
所以x=2kπ-π/3