Question 1130401


{{{(cos(2x)+sin(2x))^2=1+sin(4x )}}}

{{{cos^2(2x)+2cos(2x)sin(2x)+sin^2(2x)=1+sin(4x )}}}

Double Angle Identities
{{{sin(2x) = 2 sin(x) cos(x)}}},->{{{sin^2(2x)=(1/2 )sin(4x)}}}
{{{cos(2x) = cos^2(x) - sin^2(x)}}}->{{{cos^2(2x)=(1/2) (cos(4x) + 1)}}}



{{{(1/2) (cos(4x) + 1)+2(1/2) sin(4x)+(1/2) (1 - cos(4 x))=1+sin(4x)}}}

{{{(1/2) (cos(4x) + 1)+(1/2) (1 - cos(4 x))+ sin(4 x)=1+sin(4x )}}}

{{{(1/2) (cross(cos(4x)) + 1+ 1 -cross( cos(4 x)))+ sin(4 x)=1+sin(4x )}}}

{{{(1/2) ( 2 )+ sin(4x)=1+sin(4x )}}}

{{{1+ sin(4x)=1+sin(4x)}}}