Question

Trig Equations Pre CalcSec (theta) = 1find thetabetween 0

Answer 1

`\theta\text{ = 0}\degree`Step-by-step explanation:

`\text{sec }\theta\text{ = 1}`
`\begin{gathered} \text{From trigonometry identity:} \\ \text{sec }\theta\text{ = }\frac{1}{\cos\text{ }\theta} \\ (1)/(\cos\theta)\text{ = 1} \end{gathered}`
`\begin{gathered} \text{cross multiply:} \\ 1\text{ = 1(cos }\theta) \\ 1\text{ = cos }\theta \end{gathered}`
`\begin{gathered} \text{take inverse of cosine function:} \\ \text{arc cos(1) = }\theta \\ \theta=cos^(-1)(1) \\ \theta\text{ = }0\text{ (in degrees)} \end{gathered}`