Simplify cos theta sec theta + cos theta tan theta?

As sec(θ) = 1 / cos(θ) and tan(θ) = sin(θ) / cos(θ):

cos(θ) sec(θ) + cos(θ) tan(θ) =

cos(θ) / cos(θ) + (cos(θ) sin(θ)) / cos(θ) =

1 + sin(θ).