document.write( "Question 507915: Prove(cosecx)/(cotx+tanx) =cosx \n" ); document.write( "
Algebra.Com's Answer #341865 by lwsshak3(11628)\"\" \"About 
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Prove(cosecx)/(cotx+tanx) =cosx
\n" ); document.write( "..
\n" ); document.write( "(cosecx)/(cotx+tanx) =cosx
\n" ); document.write( "start with left side
\n" ); document.write( "(1/sin)/[(cos/sin)+(sin/cos)]
\n" ); document.write( "(1/sin)/[(cos^2+sin^2)/(sincos)]
\n" ); document.write( "(1/sin)/[1/(sincos)]
\n" ); document.write( "sincos/sin=cos
\n" ); document.write( "verified: left side=right side
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