document.write( "Question 181021: Simplify to a single trig function: (cos4x-cos2x)/(2sin3x). PLEASE HELP ME OUT AS SOON AS POSSSIBLE!!!!! Thanks in advance!!! \n" ); document.write( "

Algebra.Com's Answer #135755 by Mathtut(3670) $\"\"$ $\"About$

You can put this solution on YOUR website!
Simplify to a single trig function: (cos4x-cos2x)/(2sin3x). PLEASE HELP ME OUT AS SOON AS POSSSIBLE!!!!! Thanks in advance!!!
\n" ); document.write( ":
\n" ); document.write( "formula: 2 angles lets call them s and t
\n" ); document.write( ":
\n" ); document.write( "formula states that cos(s)-cos(t)=-2 sin((s+t)/2) sin((s-t)/2)
\n" ); document.write( ":
\n" ); document.write( "that is what we are using below:
\n" ); document.write( ":
\n" ); document.write( "using formula just on the numerator, we will bring the denominator back into play below: cos4x-cos2x==-2sin((4x+2x)/2)*sin((4x-2x)/2)=-sin3x*sinx
\n" ); document.write( ":
\n" ); document.write( "after using formula on numerator, we put those results back into the numerator of the original problem:
\n" ); document.write( ":
\n" ); document.write( " $\"-sin3x%2Asinx%2F2sin3x\"$
\n" ); document.write( ":
\n" ); document.write( " $\"-cross%28sin3x%29%2Asinx%2F2cross%28sin3x%29\"$
\n" ); document.write( ":
\n" ); document.write( " $\"%28-1%2F2%29sinx\"$ \n" ); document.write( "

\n" );