#6 Verifying Trig Identities

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

sin^2x= sinx sin^2x= sin^2x