若F(X)=ASIN(X+PI/4)+3SIN(X—PI/4)是偶函数,则A=

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/05 22:50:17

若F(X)=ASIN(X+PI/4)+3SIN(X—PI/4)是偶函数,则A=
若F(X)=ASIN(X+PI/4)+3SIN(X—PI/4)是偶函数,则A=

若F(X)=ASIN(X+PI/4)+3SIN(X—PI/4)是偶函数,则A=
∵f(x)=Asin(x+π/4)+3sin(x-π/4)是偶函数
∴f(-x)=f(x)
即Asin(-x+π/4)+3sin(-x-π/4)=Asin(x+π/4)+3sin(x-π/4)
A[sin(-x+π/4)-sin(x+π/4)]=3[sin(x-π/4)-sin(-x-π/4)]
2Acosπ/4sin(-x)=6cos(-π/4)sinx
-2Acosπ/4sinx=6cos(π/4)sinx
∴-2A=6
∴A=-3

若F(X)=ASIN(X+PI/4)+3SIN(X—PI/4)是偶函数,则A= f(x)=asin(x+pi/4)+bsin(x-pi/4)是偶函数则有序实数对(a,b)可以是如题... f(x)=asin(x+pi/4)+bsin(x-pi/4)是偶函数则有序实数对(a,b)可以是 f(2x)=sin (x+3*pi/4)+cos (x-pi/2), f(x)=|x|(-pi f(x)=2sin(pi*x+pi/6),若f(a/2pi)=1/2,求cos (2*pi/3-a)的值 f(X)=2sin(2x-Pi/3)+1,x属于[Pi/4,Pi/2]求f(x)的最大值和最小值 三角函数关于直线对称问题?已知定义在区间[-3pi/2,pi]上的函数y=f(x)的图像关于直线x=-pi/4对称,当x在[-pi/4,pi]上时,f(x)=2sin(2x/3+pi/3).求x在[-3pi/2,-pi/4]上时,f(x)的表达式是什么? 已知函数f(x)=-2asin(2x+pi/6)+a+b的定义域为[0,pi/2],值域为[-5,4],求实数a,b的值. 是道三角函数的综合题,大家来帮帮哦3.若函数f(x)=(1+cos(2x)) / (4sin(pi/2+x)) – asin(x/2)*cos(pi – x/2)的最大值为2,试确定常熟a的值.没有什么思路,大家帮帮我啊~~~~ 若f(x)=asin(x+π/4)+3sin(x-π/4)是偶函数,则实数a= 若f(x)=asin(x+TT/4)+3sin(x-TT/4) 是偶函数,则a= 若f(x)=asin(x+π/4)+3sin(x-π/4)是偶函数,求a f(x)=asin(x+π/4)+3sin(x-π/4)是偶函数,求a. f(x)=asin(πx+a)+bcos(πx+β)+4,且f(1999)=3,求f(2000) f(x)=sin(Pi/4-x)+cos(Pi/4+x)的周期 y=3*sin(3*x-pi/2) 和 y= -3*sin(3*x+pi/2) 一样么?f(x)=Asin(ωx+θ)的图像与x轴相交的两个邻点坐标为(pi/6,0),(pi/2,0),且过(0,-3),则f(x)为?A.y=3*sin(3*x+pi/2)B.y=3*sin(3*x-pi/2)C.y= -3*sin(3*x+pi/2)本人用函数作图器得y=3*sin 若函数f(x)=Asin(x+π/4)+3sin(x-π/4)是偶函数,求f(x)的最大值