y=sin(x+π/3)-根号3*cos(x+π/3)的奇偶性

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y=sin(x+π/3)-根号3*cos(x+π/3)的奇偶性

y=sin(x+π/3)-根号3*cos(x+π/3)的奇偶性
y=sin(x+π/3)-根号3*cos(x+π/3)的奇偶性

y=sin(x+π/3)-根号3*cos(x+π/3)的奇偶性
y=sin(x+π/3)-根号3*cos(x+π/3)
=sin(x+π/3)-√3cos(x+π/3)
=2*1/2*sin(x+π/3)-2*1/2*√3*cos(x+π/3)
=2sin(x+π/3-π/3)
=2sinx
由于正弦函数f(x)=sinx是奇函数,故y=2sinx也是奇函数.

y=sin(x+π/3)-根号3*cos(x+π/3)
=2sin(x+π/3-π/3)
=2sinx
y=2sinx
F(-X)=-2sinx
y=sin(x+π/3)-根号3*cos(x+π/3)是奇函数