Question #5c457

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Answer 1 · 2017-04-09T10:01:57

#LHS=(sinx + cosx) (secx+ cosecx)#

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

#=(sinx + cosx) ((sinx+cosx)/(cosxsinx))#

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

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

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

#=secxcosecx+2#

# = 2 + secx cosecx=RHS#

So this is not an equation but an identity.