定義在R上的函數f(x)滿足f(x)=f(x+2)當x∈[3,5]時,f(x)=2-∣x-4∣,則( )A.f(sinπ/6)<f(cosπ/6)B.f(sin 1)>f(cos 1)C.f(cos2π/3)<(sin2π/3)D.f(cos 2)>f(sin 2)請寫出計算過程。謝謝！
熱心網友
當x∈[-1,1]f(x)=f(x+2)=f(x+4)=2-∣x∣,π/4f(sin 2)。選D.f(cos 2)f(sin 2)
定義在R上的函數f(x)滿足f(x)=f(x+2)當x∈[3,5]時,f(x)=2-∣x-4∣,則( )A.f(sinπ/6)<f(cosπ/6)B.f(sin 1)>f(cos 1)C.f(cos2π/3)<(sin2π/3)D.f(cos 2)>f(sin 2)請寫出計算過程。謝謝！
當x∈[-1,1]f(x)=f(x+2)=f(x+4)=2-∣x∣,π/4f(sin 2)。選D.f(cos 2)f(sin 2)