document.write( "Question 181754: Solve the equation for the interval [0,2л):
\n" ); document.write( "(sin2x+cos2x)²=1
\n" ); document.write( "PLEASE HELP ME!!!!! \n" ); document.write( "

Algebra.Com's Answer #136516 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28sin2x+%2B+cos2x%29%5E2+=+1\"$
\n" ); document.write( "First, you need whatever is in the parentheses to be either
\n" ); document.write( " $\"1\"$ or $\"-1\"$ , since $\"1%5E2+=+1\"$
\n" ); document.write( "and $\"%28-1%29%5E2+=+1\"$
\n" ); document.write( "If I chart the equation
\n" ); document.write( "-----------------------
\n" ); document.write( "x --- 2x --- (sin2x + cos2x)
\n" ); document.write( "-----------------------------
\n" ); document.write( " $\"0\"$ --- $\"0\"$ --- $\"1\"$
\n" ); document.write( " $\"pi%2F4\"$ --- $\"pi%2F2\"$ --- $\"1\"$
\n" ); document.write( " $\"pi%2F2\"$ --- $\"pi\"$ --- $\"-1\"$
\n" ); document.write( " $\"3%2Api%2F4\"$ --- $\"3%2Api%2F2\"$ --- $\"-1\"$
\n" ); document.write( " $\"pi\"$ --- $\"2%2Api\"$ --- $\"1\"$
\n" ); document.write( " $\"5%2Api%2F4\"$ --- $\"5%2Api%2F2\"$ --- $\"1\"$
\n" ); document.write( " $\"3%2Api%2F2\"$ --- $\"3%2Api\"$ --- $\"-1\"$
\n" ); document.write( " $\"7%2Api%2F4\"$ --- $\"7%2Api%2F2\"$ --- $\"-1\"$
\n" ); document.write( " $\"2%2Api\"$ --- $\"4%2Api\"$ --- $\"1\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "It looks like there are $\"9\"$ values of $\"x\"$
\n" ); document.write( "that solve the equation
\n" ); document.write( "Another way to write the solution is:
\n" ); document.write( " $\"n%2Api%2F4\"$ for $\"n\"$ = $\"0\"$ to $\"8\"$ \n" ); document.write( "

\n" );