3 sec x - 2 = 1
Add 2 to both sides
3 sec x = 1+ 2
3 sec x = 3
divide both sides by 3
sec x = 3/3
sec x = 1
[tex]\begin{gathered} \text{ sec x = 1} \\ x=sec^{-1}1 \\ x\text{ = 0 } \\ \text{and also, the interval is \lbrack{}0, 2}\pi\rbrack \\ x\text{ = 2}\pi \\ \text{The answer is x = 0 and x = 2}\pi \end{gathered}[/tex]