How do you simplify [(1 + sin u) / cos u] + [(cos u) / 1 + sin u]?

1 Answer
Oct 24, 2015

Take the LCM

There are many ways of doing it

Explanation:

Here's an example:

((1+sinu)+cosu(cosu)+cosu(sinu))/cosu

(1+sinu+cos^2u+sinucosu)/cosu

(1+sinu+(1-sin^2u)+sinucosu)/cosu

2/cosu+(sinu-sin^2u)/cosu+(sinucosu)/cosu

2secu+sinu/cosu(1-sinu)+sinu

2secu+tanu(1-sinu)+sinu