函数f(x)=sin^2(x+45°)-sin^2(x-45°)的最小正周期和奇偶性为
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函数f(x)=sin^2(x+45°)-sin^2(x-45°)的最小正周期和奇偶性为
函数f(x)=sin^2(x+45°)-sin^2(x-45°)的最小正周期和奇偶性为
函数f(x)=sin^2(x+45°)-sin^2(x-45°)的最小正周期和奇偶性为
sin^2(x+45)
=sin(x+45)sin(x+45)
=sin(x+45)cos(45-x)
sin^2(x-45)
=sin(x-45)sin(x-45)
=-sin(x-45)cos(x+45)
=sin(45-x)cos(x+45)
sin^2(x+45)-sin^2(x-45)
=sin(45+x)cos(45-x)+sin
(45-x)cos(45+x)
=sin{(x+45)-(45-x)}
=sin2x
周期为兀 是奇函数
答:
f(x)=sin^2(x+45°)-sin^2(x-45°)
=(1/2)* [ 1-cos(2x+90°)-1+cos(2x-90°) ]
=(1/2) *sin(2x) +(1/2)*sin(2x)
=sin(2x)
最小正周期T=2π/2=π
为奇函数
原式化简可得sin2x。最小正周期为,2派除以w,等于派。奇偶性则为奇函数。
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