y=sin(x+3π/4)+cos(x+3π/)的周期和是奇函数还是偶函数?

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y=sin(x+3π/4)+cos(x+3π/)的周期和是奇函数还是偶函数?

是y=sin(x+3π/4)+cos(x+3π/4)吗?
y=√2sin(x+3π/4+π/4)=√2sin(x+π)=-√2sinx
周期为2π,奇函数

题目是不是错了cos(x+3π/)

如果是y=sin(x+3π/4)+cos(x+3π/4)的话!
楼上的回答的很正确!