document.write( "Question 105526This question is from textbook Precalculus with limits
\n" ); document.write( ": Perform the multiplication and use fundamental identities to simplify:
\n" ); document.write( "(sin x + cos x)^2 \n" ); document.write( "

Algebra.Com's Answer #76842 by Fombitz(32388) $\"\"$ $\"About$

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(sin x + cos x)^2
\n" ); document.write( "Using the FOIL Method,
\n" ); document.write( " $\"%28sin+x+%2B+cos+x%29%5E2=sin%5E2%28x%29%2B2cos%28x%29sin%28x%29%2Bcos%5E2%28x%29\"$ FOIL method.
\n" ); document.write( "You know the following trig identity,
\n" ); document.write( " $\"sin%5E2%28x%29%2Bcos%5E2%28x%29=1\"$
\n" ); document.write( "Substitute that in your equation,
\n" ); document.write( " $\"%28sin+x+%2B+cos+x%29%5E2=1%2B2cos%28x%29sin%28x%29\"$
\n" ); document.write( "Another indentity (fundamental identity, I think) is,
\n" ); document.write( " $\"sin%282x%29=2sin%28x%29cos%28x%29\"$
\n" ); document.write( "Substitute that into your equation,
\n" ); document.write( " $\"%28sin+x+%2B+cos+x%29%5E2=1%2B2cos%28x%29sin%28x%29\"$
\n" ); document.write( " $\"%28sin+x+%2B+cos+x%29%5E2=1%2Bsin%282x%29\"$ \n" ); document.write( "

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