Suppose that $\theta$ is in standard position and the given point is on the terminal side of $\theta$. Give the exact value of the indicated trig function for $\theta$. Rationalize the denominator if necessary. If the function is undefined, say so.
-$( 9,0 )$; find $\sec \theta$
A) 0
B) 1
C) $- 1$
D) Undefined

Question

Quizplus · Accepted Answer

The secant of an angle $\theta$ in a right triangle is defined as the ratio of the hypotenuse to the adjacent side. For a point (9,0) on the coordinate plane, the angle $\theta$ corresponds to 0 or $2\pi$ radians, where the adjacent side (cosine) is 1. Therefore, $\sec \theta = \frac{1}{\cos \theta} = \frac{1}{1} = 1$.

Suppose That θ\thetaθ Is in Standard Position and the Given Point Is on Point

Suppose That $\theta$ Is in Standard Position and the Given Point Is on Point