document.write( "Question 149724: Find the exact value of cos315 degrees \n" ); document.write( "

Algebra.Com's Answer #109832 by Fombitz(32388) $\"\"$ $\"About$

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315 degrees is 45 degrees away from 0 degrees.
\n" ); document.write( "Therefore sin(315)=cos(315).
\n" ); document.write( "You also know that for any angle, x,
\n" ); document.write( " $\"sin%5E2%28x%29%2Bcos%5E2%28x%29=1\"$
\n" ); document.write( "In this case,
\n" ); document.write( " $\"cos%5E2%28315%29%2Bcos%5E2%28315%29=1\"$
\n" ); document.write( " $\"2cos%5E2%28315%29=1\"$
\n" ); document.write( " $\"cos%5E2%28315%29=1%2F2\"$
\n" ); document.write( " $\"cos%28315%29=1%2Fsqrt%282%29\"$
\n" ); document.write( " $\"cos%28315%29=sqrt%282%29%2F2\"$
\n" ); document.write( " \n" ); document.write( "

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