
高一数学难题
将函数y=f(x)*sinx(x属于R)的图象向右平移4分之派个单位后,再作关于X轴的对称变换,得到函数y=1-2sin的平方x的图象,则f(x)可以是多少?...
将函数y=f(x)*sinx(x属于R)的图象向右平移4分之派个单位后,再作关于X轴的对称变换,得到函数y=1-2sin的平方x的图象,则f(x)可以是多少?
展开
2个回答
展开全部
y=f(x-π/4)*sin(x-π/4) == y=1-2(sinx)^2
f(x-π/4)=[1-2(sinx)^2]/[sin(x-π/4)]
f(x)={1-2[sin(x+π/4)]^2}/sin(x)
=cos(2x+π/2)/sin(x)
=sin(2x)/sin(x)
=2sin(x)cos(x)/sin(x)
=2cos(x)
f(x-π/4)=[1-2(sinx)^2]/[sin(x-π/4)]
f(x)={1-2[sin(x+π/4)]^2}/sin(x)
=cos(2x+π/2)/sin(x)
=sin(2x)/sin(x)
=2sin(x)cos(x)/sin(x)
=2cos(x)
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询