Question

Hello need help with rewriting terms in sin and cos for my trig class

Answer 1

Given:

`(cosusecu)/(tanu)`

To simplify and write the given trigonometric expression in terms of sine and cosine, we first note below basic trigonometric identities:

`secu=(1)/(cosu)`
`tanu=(sinu)/(cosu)`

Next, we plug in what we know:

`\begin{gathered} (cosusecu)/(tanu)=(cosu((1)/(cosu)))/((sinu)/(cosu)) \\ Simplify\text{ and rearrange} \\ (cosusecu)/(tanu)=(cosu)/(sinu) \end{gathered}`

Therefore, the answers are:

`\begin{gathered} f(u)=cosu \\ g(u)=sinu \end{gathered}`