arcsin[sin(19Π/12)]求值Π为3.1415926

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arcsin[sin(19Π/12)]求值Π为3.1415926

arcsin[sin(19Π/12)]求值Π为3.1415926
arcsin[sin(19Π/12)]求值
Π为3.1415926

arcsin[sin(19Π/12)]求值Π为3.1415926
y=arcsin(x),定义域[-1,1] ,值域[-π/2,π/2]
arcsin[sin(19Π/12)]=arcsin[sin(2π - 5π/12)]=arcsin[sin(-5π/12)]= -5π/12

arcsinx x属于[-π/2,π/2]
sin(19π/12)=sin(19π/12-2π)=sin(-5/12π)
所以arcsin[sin(19Π/12)]=-5/12π
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