start finding the value of sec(pi/4)
[tex]\sec (\frac{\pi}{4})=\sqrt[]{2}[/tex]then solve the left side of the equation
[tex]\begin{gathered} 3\sqrt[]{2}\sec (\frac{\pi}{4})+7=1 \\ 3\cdot\sqrt[]{2}\cdot\sqrt[]{2}+7=1 \\ 3\cdot2+7=1 \\ 6+7=1 \\ 13\ne1 \end{gathered}[/tex]It is not a solution to the equation.
