Given the equation:
[tex]\sec 4\theta=2[/tex]
Let's solve the trigonometric function and express the solution in degrees.
The first step is to take the inverse secant of both sides:
[tex]\begin{gathered} 4\theta=arc\sec (2) \\ \end{gathered}[/tex]
Where:
Exact value of arcsec(2) = 60
Hence, we have:
[tex]4\theta=60[/tex]
The next step is to divide both sides by 4:
[tex]\begin{gathered} \frac{4\theta}{4}=\frac{60}{4} \\ \\ \theta=15^0 \end{gathered}[/tex]
