document.write( "Question 934716: Proof:
\n" ); document.write( "2-(sin θ -cos θ )^2= (sinθ+cosθ)^2
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Algebra.Com's Answer #567698 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2-%28sin+%28theta%29+-cos%28theta%29+%29%5E2=%28sin%28theta%29%2Bcos%28theta%29%29%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"2-%28sin+%28theta%29+-cos%28theta%29+%29%5E2\"$ =\r
\n" ); document.write( "\n" ); document.write( " $\"2-%28sin%5E2+%28theta%29+-2sin%28theta%29cos%28theta%29+%2Bcos%5E2%28theta%29%29\"$ =\r
\n" ); document.write( "\n" ); document.write( " $\"2-sin%5E2+%28theta%29+%2B2sin%28theta%29cos%28theta%29+-cos%5E2%28theta%29%29\"$ =\r
\n" ); document.write( "\n" ); document.write( " $\"2%2B2sin%28theta%29cos%28theta%29-sin%5E2+%28theta%29++-cos%5E2%28theta%29\"$ =\r
\n" ); document.write( "\n" ); document.write( " $\"2%2B2sin%28theta%29cos%28theta%29-%28sin%5E2+%28theta%29++%2Bcos%5E2%28theta%29%29\"$ =...............we know $\"cos%5E2%28theta%29+%2B+sin%5E2%28theta%29=+1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%2B2sin%28theta%29cos%28theta%29-1\"$ =\r
\n" ); document.write( "\n" ); document.write( " $\"1%2B2sin%28theta%29cos%28theta%29\"$ = since $\"cos%5E2%28theta%29+%2B+sin%5E2%28theta%29=+1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"cos%5E2%28theta%29+%2B+sin%5E2%28theta%29%2B2sin%28theta%29cos%28theta%29\"$ =\r
\n" ); document.write( "\n" ); document.write( " $\"+sin%5E2%28theta%29%2B2sin%28theta%29cos%28theta%29%2Bcos%5E2%28theta%29\"$ =\r
\n" ); document.write( "\n" ); document.write( "= $\"%28sin%28theta%29%2Bcos%28theta%29%29%5E2\"$ \r
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