document.write( "Question 1206025: Verify the following identity.\r
\n" ); document.write( "\n" ); document.write( "1 / siny - 1 / siny + 1 = - 2sec^2 y
\n" ); document.write( "

Algebra.Com's Answer #843195 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
1 / siny - 1 / siny + 1 = - 2sec^2 y=> not quite readable, I assume you have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1+%2F+%28sin%28y%29+-+1%29-1+%2F+%28sin%28y%29+%2B+1%29+=+-2sec%5E2+%28y%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "manipulate left side\r
\n" ); document.write( "\n" ); document.write( "\"1+%2F+%28sin%28y%29+-+1%29-1+%2F+%28sin%28y%29+%2B+1%29+\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "=\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " =\"%28sin%28y%29+%2B+1++-sin%28y%29+%2B1%29+%2F+%28sin%5E2%28y%29+-+1%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " =\"2+%2F+%28sin%5E2%28y%29+-+1%29\".......\"sin%5E2%28y%29-1=-cos%5E2%28y%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "=\"2+%2F+%28-cos%5E2%28y%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "=\"-2+%2F+cos%5E2%28y%29\"....use identity \"cos%5E2%28y%29=1%2Fsec%5E2+%28y%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "=\"-2+%2F+%281%2Fsec%5E2+%28y%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "=\"-2sec%5E2+%28y%29\"=> proven\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );