已知函数f(x)=sin(ωx+φ)其中ω＞0|φ|＜π/2 (1)若cosπ/4cosφ-si

φ=π/4
f（x）=sin（3x+π/4）,m=π/12
cosπ/4cosφ-sin3π/4sinφ=cosπ/4cosφ-sinπ/4sinφ=cos(π/4+φ）=0 ,因为φ绝对值＜π/2 ,所以π/4+φ大于-π/4小于3π/4,所以π/4+φ=π/2,φ=π/4
函数f（x）的图像的相邻两条对称轴之间的距离等于π/3,2π/w=2*π/3,w=3,所以f（x）=sin（3x+π/4）,由函数图象知对称轴为kπ/3+π/4,固向左平移π/12个单位长度图象变为偶函数

COS(兀/4+φ)=0