Question

Evaluate the reciprocal trigonometric ratio sec 36° to four decimal places

Answer 1

`\begin{gathered} \text{Given} \\ \sec (36\degree) \end{gathered}`
`\begin{gathered} \sec 36\degree=(1)/(\cos 36\degree) \\ \sec 36\degree=\frac{1}{\frac{\sqrt[]{5+1}}{4}} \\ \sec 36\degree=1.23606 \end{gathered}`

Rounding off to four decimal places

`\sec 36\degree=1.2361`