Simplify and write the trigonometric expression in terms of sine and cosine:
cosusecutanu=f(u)g(u)\displaystyle {\frac{{{\cos{{u}}}{\sec{{u}}}}}{{{\tan{{u}}}}}}={\frac{{{f{{\left({u}\right)}}}}}{{{g{{\left({u}\right)}}}}}}
f(u)=\displaystyle {f{{\left({u}\right)}}}=   ;
g(u)=\displaystyle {g{{\left({u}\right)}}}=   .