document.write( "Question 459996: Need to verify the identity.
\n" ); document.write( "-cot t + sin t/1-cos t = csc t \n" ); document.write( "

Algebra.Com's Answer #315987 by lwsshak3(11628) $\"\"$ $\"About$

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Need to verify the identity.
\n" ); document.write( "-cot t + sin t/1-cos t = csc t
\n" ); document.write( "..
\n" ); document.write( "starting with left side
\n" ); document.write( "-cot t + sin t/1-cos t
\n" ); document.write( "-cos t/sin t+sin t/1-cos t
\n" ); document.write( "LCD: sin t(1-cos t)
\n" ); document.write( "=-cos t+cos^2t+sin^2t/sin t(1-cos t)
\n" ); document.write( "=1-cos t/sin t(1-cos t)
\n" ); document.write( "=1/sin t=csc t
\n" ); document.write( "verified: left side = right side \n" ); document.write( "

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