已知函数f(x)=sin(x+w)+3^(1/2)cos(x-w)为偶函数,求w的值已知函数f(x)=sin(x+w)+根号3co_数学解答

已知函数f(x)=sin(x+w)+3^(1/2)cos(x-w)为偶函数,求w的值
已知函数f(x)=sin(x+w)+根号3cos(x-w)为偶函数,求w的值

人气：447 ℃　时间：2019-09-26 14:46:24

解答

f(x)=f(-x)sin(x+w)+sqrt(3)*cos(x-w)=sin(w-x)+sqrt(3)*cos(x+w)2(cos30度cos(x+w)-sin30度sin(x+w))=2(cos30度cos(x-w)+sin30度sin(x-w))cos(x+w+30度)=cos(x-w-30度)则x+w+30度=x-w-30度+2k*pi,k为整数w=-30度+kp...