Question

Which of the following shows the simplified function of sec x sin?

Answer 1

we have the expression

`secxsin((\pi)/(2)-x)`

Remember that

`sin(A-B)=sinAcosB-cosAsinB`

therefore

`\begin{gathered} sin((\pi)/(2)-x)=sin(\pi)/(2)cosx-cos(\pi)/(2)sinx \\ \\ sin((\pi)/(2)-x)=cosx \end{gathered}`

substitute in the given expression

`\begin{gathered} secx(cosx) \\ ((1)/(cosx))cosx \\ 1 \end{gathered}`

The answer is 1