document.write( "Question 494831: Please help me with this problem. I need to determine if this equation might be an identity (algebraically):
\n" ); document.write( " $\"+1%2Bcot%5E2x=%28sec%5E2x%29%2F%28sec%5E2x-1%29+\"$ \n" ); document.write( "

Algebra.Com's Answer #335987 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
Please help me with this problem. I need to determine if this equation might be an identity (algebraically):
\n" ); document.write( "1+cot^2x=(sec^2x)/(sec^2x-1)
\n" ); document.write( "Starting with right side:
\n" ); document.write( "(1/cos^2x)/((1/cos^2x)-1)
\n" ); document.write( "(1/cos^2x)/((1-cos^2x)/cos^2x)
\n" ); document.write( "cos^2x cancel out
\n" ); document.write( "1/1-cos^2x
\n" ); document.write( "1/sin^2x
\n" ); document.write( "(sin^2x+cos^2x)/sin^2x
\n" ); document.write( "1+(cos^2x/sin^2x)=1+cot^2x
\n" ); document.write( "verified:
\n" ); document.write( "right side=left side
\n" ); document.write( "so equation is an identity \n" ); document.write( "

\n" );