Considering the position of the angle in the unit circle, it is found that the value of the secant of theta is of -3.
What is the unit circle?
For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].
In this problem, the point is given by:
[tex]P = \left(-\frac{1}{3}, -\frac{\sqrt{8}}{3}\right)[/tex]
The secant of an angle is given by:
[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]
From the point, we have that:
[tex]\cos{\theta} = -\frac{1}{3}[/tex]
Hence, applying the equation for the secant, we have that the value of the secant of theta is of -3.
More can be learned about the unit circle at https://brainly.com/question/16852127
