document.write( "Question 397184: Vertify identity
\n" ); document.write( "1+sin(data)/sin(data)=cot^2/csc(data)-1
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Algebra.Com's Answer #281545 by lwsshak3(11628)\"\" \"About 
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Vertify identity
\n" ); document.write( "1+sin(data)/sin(data)=cot^2/csc(data)-1
\n" ); document.write( "(1+sin)/sin=cot^2/csc-1\r
\n" ); document.write( "\n" ); document.write( "The right-hand side looks more complicated, so let us start with that side
\n" ); document.write( "(right-hand side)=cot^2/csc-1=(cos^2/sin^2)/(1/sin)-1
\n" ); document.write( "=(cos^2/sin^2)/((1-sin)/sin)
\n" ); document.write( "=cos^2/sin(1-sin)
\n" ); document.write( "=1-sin^2/sin(1-sin)
\n" ); document.write( "=(1+sin)(1-sin)/sin(1-sin)
\n" ); document.write( "=(1+sin)/sin=(left-hand side)
\n" ); document.write( "verified: right-hand side = left-hand side\r
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