Question #48227

1 Answer
P dilip_k
Apr 19, 2017

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

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

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

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

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

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

#=secx#

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