Question #8d661

1 Answer
Justin
Jun 22, 2017

#secx#

Explanation:

#1/secx+tan^2x/secx#
=#(1+tan^2x)/secx#

Using the identity #sin^2x+cos^2x=1#
and hence the derivation from dividing both sides by #cos^2x#: #1+tan^2x=sec^2x#
#(1+tan^2x)/secx# becomes #sec^2x/secx#
which further simplifies into #secx#

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