Answer:
tan x + sec x
Explanation:
(sinx +1) cos x
------------------------
cos ^2 (x)
(sinx +1) cos x
------------------------
cos (x) cos x
Cancel cos x from top and bottom
(sinx +1)
------------------------
cos (x)
Break apart
sinx / cos x + 1 /cos x
We know that sin /cos is tan and 1 /cos = sec
tan x + sec x