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1. (secxsinx)/(tanxcotx)=sin^2x
(sinx) / ( [ sin^2x/ sinx] + [ 1/ sinx] ) = sinx ( sin^2x) / ( [ sinxcosx/ sin^2x] + [ sin^2x/ secxsinx] ) = 1 ( cos^2x) / ( [ cosx+ secx] / [ secxsinx] ) = cosx ( sin^2x) / ( secxsinx/ sinx) = sinxcosx secxsinx* sinxcosx* cos^2x* cox= sin^2x sinxcosx* sin^2x*
2. (secxsinx)/(tanxcotx)=sin^2x
sin^2x= sin^2x sinx= sin^2x