document.write( "Question 731290: How do you solve the equation: sin + cos = sqrt2? \n" ); document.write( "

Algebra.Com's Answer #447081 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sin%28theta%29%2Bcos%28theta%29=sqrt%282%29\"$
\n" ); document.write( " $\"%28sin%28theta%29%2Bcos%28theta%29%29%5E2=2\"$
\n" ); document.write( " $\"sin%5E2%28theta%29%2Bcos%5E2%28theta%29%2B2sin%28theta%29%2Acos%28theta%29=2\"$
\n" ); document.write( " $\"1%2B2sin%28theta%29%2Acos%28theta%29=2\"$
\n" ); document.write( "Using one of the trigonometric identities:
\n" ); document.write( " $\"1%2Bsin%282theta%29=2\"$
\n" ); document.write( " $\"sin%282theta%29=1\"$ --> $\"2theta=90%5Eo\"$ --> $\"highlight%28theta=45%5E0%29\"$ \r
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