Respuesta :
Since no angle has a cosine of 2, the arcsecant of 0.5 is undefined, and the statement that [tex]\sec^{-1}{0.5}[/tex] is undefined is True.
What is the secant of an angle?
The secant of angle is given by one divided by the cosine of the angle, that is:
[tex]\sec{\theta} = \frac{1}{\cos{\theta}}[/tex]
The cosine of an angle has values ranging between -1 and 1, hence the values of the seccant are in the following interval:
[tex][1, \infty)[/tex]
The concept of the arcseccant, [tex]arcsec{x} = \theta[/tex] means that angle [tex]\theta[/tex] has a secant value of x.
In this problem, the expression is given by:
[tex]\sec^{-1}{0.5}[/tex]
No angle has a secant of 0.5, as 0.5 is not on the interval [tex][1, \infty)[/tex], hence the statement that [tex]\sec^{-1}{0.5}[/tex] is undefined is True.
More can be learned about the secant of an angle at https://brainly.com/question/13983605
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