Two waves are given by y1=asin(ωt−kx) and y2=acos(ω t−kx). The phase difference between the two waves is
π4
π
π8
π2
y1=asin(ωt−kx) and y2=acos(ωt−kx)=asin ω t−kx+π2Hence phase difference between these two is π2.