因为M(sinx,cosθ),N(cosx,sinθ),θ=π/8
所以M*N=sinxcosx+cosθsinθ
=(1/2)*[sin(2x)+sin(2θ)]
=(1/2)*[sin(2x)+sin(π/4)]
=(1/2)*[sin(2x)+√2/2]
=√10/10
所以sin(2x)=2*√10/10-√2/2=(2√10-5√2)/10