Question 782106
(sec^2x + 2tanx)/(cosx + sin x)^2

(1+tan^2x+2tanx)/(cos^2x+sin^2x+2sinxcosx)


(1+tanx)^2/(1+2sinxcosx)

(1+(sinx/cosx))^2/(1+2sinxcosx)


((cosx+sinx)/cosx)^2/(1+2sinxcosx)


((cos^2x+2sinxcosx+sin^2x)/cos^2x))/(1+2sinxcosx))



((1+2sinxcosx)/cos^2x)*(1/(1+2six.cosx))



1/cos^2x)


sec^2x