document.write( "Question 467680: (cot)/(csc-1)=(csc+1)/(cot)\r
\n" ); document.write( "\n" ); document.write( "please prove this for me :)
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Algebra.Com's Answer #320926 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
(cot)/(csc-1)=(csc+1)/(cot)
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\n" ); document.write( "Left side:
\n" ); document.write( "(cos/sin)/((1/sin)-1)
\n" ); document.write( "(cos/sin)/(1-sin/sin)
\n" ); document.write( "cancel out sin
\n" ); document.write( "cos/(1-sin)
\n" ); document.write( "multiply by (1+sin)
\n" ); document.write( "cos/(1-sin)*(1+sin)/(1+sin)
\n" ); document.write( "cos(1+sin)/1-sin^2
\n" ); document.write( "cos(1+sin)/cos^2
\n" ); document.write( "(1+sin)/cos
\n" ); document.write( "1/cos+sin/cos
\n" ); document.write( "csc+tan
\n" ); document.write( "..
\n" ); document.write( "right side:
\n" ); document.write( "(csc+1)/(cot)
\n" ); document.write( "csc/cot+1/cot
\n" ); document.write( "(1/sin)/(cos/sin)+1/cot
\n" ); document.write( "1/cos+1/cot
\n" ); document.write( "csc+tan
\n" ); document.write( "Proof: right side=left side
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