Question #35a5b

2 Answers
Apr 17, 2017

See below

Explanation:

#cosx+cosxtan^2x#

#=cosx+cosx(sin^2x/cos^2x)#

#=cosx+sin^2x/cosx#

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

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

#=1/cosx#

#=secx#

Apr 17, 2017

See below

Explanation:

#cosx+cosxtan^2x#
#=cosx(1+tan^2x)#
#=cosxsec^2x#
#=secx#