Question #d8d7c

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Answer 1 · 2016-10-04T16:58:09

#(1+tanx+secx)(1+cotx-cscx)#

#=(1+sinx/cosx+1/cosx)(1+cosx/sinx-1/sinx)#

#=((cosx+sinx+1)/cosx)((sinx+cosx-1)/sinx)#

#=((cosx+sinx)^2-1)/(cosxsinx)#

#=(cos^2x+sin^2x+2sinxcosx-1)/(cosxsinx)#

#=(1+2sinxcosx-1)/(cosxsinx)#

#=(2sinxcosx)/(cosxsinx)#

#=2#