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.
-(0, -1); find tan $\theta$
A)0
B)Undefined
C)1
D)-1

Question

Quizplus · Accepted Answer

The tangent function is defined as $tan(\theta) = \frac{y}{x}$, where $x$ and $y$ are the coordinates of a point on the terminal side of $\theta$. Given the point (0, -1), $x = 0$ and $y = -1$. Therefore, $tan(\theta) = \frac{-1}{0}$, which is undefined because division by zero is not possible.

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