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)![]() ![]() You can put this solution on YOUR website! (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( " |