document.write( "Question 19594: can you verify (1+ sin x +cos)^2=2(1+ sin x)(1+ cos x) \n" ); document.write( "

Algebra.Com's Answer #9476 by xcentaur(357) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%281%2B+sin+x+%2Bcos+x%29%5E2=2%281%2B+sin+x%29%281%2B+cos+x%29\"$
\n" ); document.write( "Left hand side:
\n" ); document.write( "1 + (sin^2)x + (cos^2)x + 2(1*sinx+sinx*cosx+1*cosx)
\n" ); document.write( "we know that (sin^2)x + (cos^2)x = 1
\n" ); document.write( " $\"1%2B1%2B2%28sinx%2Bcosx%2Bsinx%2Acosx%29\"$
\n" ); document.write( " $\"2%2B2sinx%2B2cosx%2B2sinx%2Acosx\"$
\n" ); document.write( " $\"2%28sinx%2Bcosx%2Bsinx%2Acosx%29\"$
\n" ); document.write( " $\"2%28cosx%2Bsinx%2Bsinx%2Acosx%29\"$
\n" ); document.write( " $\"2%28cosx%2Bsinx%281%2Bcosx%29%29\"$
\n" ); document.write( " $\"2%281%2Bsinx%29%281%2Bcosx%29\"$
\n" ); document.write( "

\n" ); document.write( "which is equal to the right hand side
\n" ); document.write( "

\n" ); document.write( "Hope this helps,
\n" ); document.write( "Prabhat \n" ); document.write( "

\n" );