document.write( "Question 266343: I need to prove the identity (1+tan^2x)cot^2x=csc^2x \n" ); document.write( "
Algebra.Com's Answer #538581 by Regrnoth(1)\"\" \"About 
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(1+tan^2x)cot^2x=csc^2x\r
\n" ); document.write( "\n" ); document.write( "LHS:
\n" ); document.write( "(1+tan^2x)cot^2x=csc^2x
\n" ); document.write( "=sec^2x(cos^2x/sin^2x)
\n" ); document.write( "=1/cos^2x(cos^2x/sin^2x)
\n" ); document.write( "Cancel out the cos^2x
\n" ); document.write( "=1/sin^2x
\n" ); document.write( "=csc^2x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore
\n" ); document.write( "LHS=RHS
\n" ); document.write( "csc^2x=csc^2x
\n" ); document.write( "
\n" );