Question 578146
<pre>
sin(x) + sin(3x) + sin(5x) &#8799; {{{sin^2(3x)/sin(x)}}}

sin(3x-2x) + sin(3x) + sin(3x+2x)  

[sin(3x)cos(2x) - cos(3x)sin(2x)] + sin(3x) + [sin(3x)cos(2x) + cos(3x)sin(2x)] 

sin(3x)cos(2x) - cos(3x)sin(2x) + sin(3x) + sin(3x)cos(2x) + cos(3x)sin(2x) 

sin(3x)cos(2x) + sin(3x) + sin(3x)cos(2x)

2sin(3x)cos(2x) + sin(3x)

sin(3x)[2cos(2x) + 1]

sin(3x)[2(2cosē(x)-1) + 1]

sin(3x)[4cosē(x)- 2 + 1]

sin(3x)[4cosē(x)- 1]

sin(3x)[2cosē(x) + 2cosē(x) - 1]

sin(3x)[2cosē(x) + (2cosē(x) - 1)]

sin(3x)[2cosē(x) + cos(2x)]

sin(3x)[2cosē(x) + cos(2x)]{{{(sin(x)/sin(x))}}}

sin(3x){{{(   ( 2sin(x)cos^2(x) + cos(2x)sin(x) )   /sin(x) )  }}}

sin(3x){{{  ( ( 2sin(x)cos(x)*cos(x) + cos(2x)sin(x) )   /sin(x) )  }}}

sin(3x){{{   (( sin(2x)cos(x) + cos(2x)sin(x) )   /sin(x))   }}}

sin(3x){{{   (( sin(2x+x) )   /sin(x)   )}}}

sin(3x){{{(   ( sin(3x) )   /sin(x)   )}}}

{{{sin^2(3x)/sin(x)}}}

Edwin</pre>