Question 868857
{{{3sin(8 pi X)+ 3 sqrt(3)cos(8 pi X)}}}


{{{3sin(8 pi X)=- 3 sqrt(3)cos(8 pi X)}}}

square both sides

{{{ 9sin^2(8piX)=27cos^2(8piX) }}}

/27
{{{ (9/27)sin^2(8piX)=cos^2(8piX) }}}

{{{ (9/27)sin^2(8piX)=1-sin^2(8piX) }}}

{{{ (1/3)sin^2(8piX)+sin^2(8piX)=1 }}}

{{{ (4/3)sin^2(8piX)=1 }}}

sin^2(8piX) =3/4

{{{sin (8piX) =sqrt(3)/2}}}