(cosx)^4－2sinxcosx－(sinx)^4=(cosx)^4－(sinx)^4－2sinxcosx=[(cosx)^2+(sinx)^2][(cosx)^2-(sinx)^2]-2sinxcosx=1*cos2x-sin2x=√2(cos2x*√2/2-sin2x*√2/2)=√2(cos2xcosπ/4-sin2xsinπ/4)=√2cos(2x+π/4)...