Decide whether the statement is possible or impossible for an angle $\theta .$
-$\cos \theta = \frac { 2 } { 11 } \text { and } \sec \theta = \frac { 11 } { 2 }$
A) Impossible
B) Possible

Question

Quizplus · Accepted Answer

The cosine of an angle is the reciprocal of the secant of that angle, so if $\cos \theta = \frac{2}{11}$, then $\sec \theta = \frac{1}{\cos \theta} = \frac{11}{2}$, making the statement possible.

Decide Whether the Statement Is Possible or Impossible for an Angle