函数y=sin(x+3/5π)+sin(x-3/5π)的周期为?

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函数y=sin(x+3/5π)+sin(x-3/5π)的周期为?函数y=sin(x+3/5π)+sin(x-3/5π)的周期为?函数y=sin(x+3/5π)+sin(x-3/5π)的周期为?y=si

函数y=sin(x+3/5π)+sin(x-3/5π)的周期为?
函数y=sin(x+3/5π)+sin(x-3/5π)的周期为?

函数y=sin(x+3/5π)+sin(x-3/5π)的周期为?
y=sin(x+3/5π)+sin(x-3/5π)
=sinxcos3/5π+cosxsin3/5π+sinxcos3/5π-cosxsin3/5π
=2cos3/5π*sinx
所以T=2π/1=2π

sinXcos3/5π + cosXsin3/5π + sinXcos3/5π - cosXsin3/5π = 2cos3/5πsinX
所以T=2π