document.write( "Question 155226This question is from textbook precalculus
\n" ); document.write( ": prove (we have to work with the left side)\r
\n" ); document.write( "\n" ); document.write( "cos(2u)=cos^2u
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Algebra.Com's Answer #114288 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
\"cos%282u%29=cos%5E2%28u%29\"
\n" ); document.write( "By double -Angle Formula:
\n" ); document.write( "\"cos%282u%29=2cos%5E2%28u%29-1\"
\n" ); document.write( "So,
\n" ); document.write( "\"2cos%5E2%28u%29-1=cos%5E2%28u%29\"
\n" ); document.write( "\"2cos%5E2%28u%29-cos%5E2%28u%29=1\"
\n" ); document.write( "\"cos%5E2%28u%29%282-1%29=1\"
\n" ); document.write( "\"cos%5E2%28u%29=1\"
\n" ); document.write( "\"cos%5E2%28u%29-1=0\"
\n" ); document.write( "By Pythagorean Identities:
\n" ); document.write( "\"sin%5E2%28u%29%2Bcos%5E2%28u%29=1\"
\n" ); document.write( "\"sin%5E2%28u%29=1-cos%5E2%28u%29\"
\n" ); document.write( "Therefore,
\n" ); document.write( "\"cos%5E2%28u%29-1\" -----------> \"-sin%5E2%28u%29\"
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
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