You can put this solution on YOUR website! Prove(cosecx)/(cotx+tanx) =cosx
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(cosecx)/(cotx+tanx) =cosx
start with left side
(1/sin)/[(cos/sin)+(sin/cos)]
(1/sin)/[(cos^2+sin^2)/(sincos)]
(1/sin)/[1/(sincos)]
sincos/sin=cos
verified: left side=right side