document.write( "Question 1012148: what is the trig identity used to obtain the expression (cscx-1)(1+cscx)? \n" ); document.write( "
Algebra.Com's Answer #628005 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
The product is csc^2 (x)-1
\n" ); document.write( "That is (1/sin^2(x)) -1
\n" ); document.write( "putting everything over sin^2 (x)
\n" ); document.write( "(1-sin^2 (x))/sin^2 (x)
\n" ); document.write( "But 1-sin^2 (x)=cos^2 (x)
\n" ); document.write( "Therefore, the identity is cos^2 (x)/sin^2 (x)
\n" ); document.write( "That is cot ^2 (x)
\n" ); document.write( "
\n" );