回答:
说明:
sin kt和cos kt的时间段是
所以,另外,f(t)中两个项的周期是
对于总和,复合周期由下式给出
L = 13且M = 1。共同的价值=
校验:
F(x)= 3 + 3 cos( frac {1} {2}(x-frac { pi} {2}))的周期,幅度和频率是多少?
幅度= 3,周期= 4pi,相移= pi / 2,垂直移位= 3方程的标准形式是y = a cos(bx + c)+ d给定y = 3 cos((x / 2) - (pi / 4))+ 3 :. a = 3,b =(1/2),c = - (pi / 4),d = 3幅度= a = 3周期= pi / | b | =(2pi)/(1/2)= 4pi相移= -c / b =(pi / 4)/(1/2)= pi / 2,颜色(蓝色)(右(π/ 2)。垂直移位= d = 3图{3 cos((x / 2) - (pi / 4))+ 3 [-9.455,10.545,-2.52,7.48]}
函数y = -2sin(40 + 2pi)的周期,幅度和相移是多少?
Y = -2sin(40 +2π)=文本{常数},因此没有周期或相移,以及2sin(40)的恒定幅度。
什么是f(t)= sin(t / 13)+ cos((13t)/ 24)的周期?
周期是= 4056pi周期函数的周期T是f(t)= f(t + T)这里,f(t)= sin(1 / 13t)+ cos(13 / 24t)因此,f( t + T)= sin(1/13(t + T))+ cos(13/24(t + T))= sin(1 / 13t + 1 / 13T)+ cos(13 / 24t + 13 / 24T) = SIN(1 /13吨)COS(1 / 13T)+ COS(1 /13吨)SIN(1 / 13T)+ COS(13 /24吨)COS(13 / 24T)-sin(13 /24吨)SIN(13 / 24T)As,f(t)= f(t + T){(cos(1 / 13T)= 1),(sin(1 / 13T)= 0),(cos(13 / 24T)= 1),( sin(13 / 24T)= 0):} <=>,{(1 / 13T = 2pi),(13 / 24T = 2pi):} <=>,{(T = 26pi = 338pi),(T = 48 / 13pi = 48pi):} <=>,T = 4056pi