document.write( "Question 271498: trying to help my son but it has been 30 years for me doing these.\r
\n" ); document.write( "\n" ); document.write( "\"csc%5E4x+-+2csc%5E2x+%2B+1+=+cot%5E4x\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28csc%5E2x%29%2F%28cot%28x%29%29++=++csc%28x%29%2Asec%28x%29\"
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #198758 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\"csc%5E4x+-+2csc%5E2x+%2B+1+=+cot%5E4x\"\r\n" );
document.write( "\r\n" );
document.write( "Work with the left side only:\r\n" );
document.write( "\r\n" );
document.write( "Factor the left side:\r\n" );
document.write( "\r\n" );
document.write( "\"%28csc%5E2x-1%29%28csc%5E2-1%29=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "Use the identity \"1%2Bcot%5E2alpha=csc%5E2alpha\" or \"cot%5E2alpha=csc%5E2alpha-1\"\r\n" );
document.write( "\r\n" );
document.write( "\"%28cot%5E2x%29%28cot%5E2x%29=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "\"cot%5E4x=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "--------------------------------------\r\n" );
document.write( "\r\n" );
document.write( "\"%28csc%5E2x%29%2F%28cot%28x%29%29++=++csc%28x%29%2Asec%28x%29\"\r\n" );
document.write( "\r\n" );
document.write( "Work with the left side only \r\n" );
document.write( "\r\n" );
document.write( "\"%28csc%5E2x%29%2F%28cot%28x%29%29=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "Use the identity \"csc%28alpha%29=1%2F%28sin%28alpha%29%29\" to\r\n" );
document.write( "rewrite the numerator and the identity \"cot%28alpha%29=%28Cos%28alpha%29%29%2F%28Sin%28alpha%29%29\" to rewrite the denominator:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Write as a division:\r\n" );
document.write( "\r\n" );
document.write( "\"%0D%0A%0D%0A%28++1%2F%28Sin%5E2x%29+%29\"\"%22%F7%22\"\"++%28++%28Cos%28x%29%29+%2F%28Sin%28x%29%29++%29=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "Invert the second fraction and change the division to multiplication:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Cancel\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"+%281%2F%28Sin%28x%29%29%29%281%2F%28Cos%28x%29%29%29=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "Use the identities \"csc%28alpha%29=1%2FSin%28alpha%29\" and \"sec%28alpha%29=1%2FCos%28alpha%29\"\r\n" );
document.write( "to rewrite those factors\r\n" );
document.write( "\r\n" );
document.write( "\"csc%28x%29sec%28x%29=%22%22\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );