Use the given values to evaluate (if possible) three trigonometric functions $\csc \theta , \tan \theta , \cos \theta$ .
$\sin \theta = - 1 , \cot \theta = 0$
A) $\csc \theta$ is undefined.
$$\begin{array} { l }
\tan \theta = - 1 \
\cos \theta = 0
\end{array}$$
B) $$\csc \theta = - 1$$
$\tan \theta$ is undefined.
$$\cos \theta = 1$$
C) $$\csc \theta = - 1$$
$\tan \theta$ is undefined.
$$\cos \theta = 0$$
D) $$\csc \theta = - 1$$
$\tan \theta$ is undefined.
$$\cos \theta = - 1$$
E) $$\csc \theta = 1$$
$\tan \theta$ is undefined.
$$\cos \theta = - 1$$

Question

Use the given values to evaluate (if possible) three trigonometric functions $\csc \theta , \tan \theta , \cos \theta$ .  
  $\sin \theta = - 1 , \cot \theta = 0$  
A)  $\csc \theta$ is undefined.
$$\begin{array} { l } 
\tan \theta = - 1 \
\cos \theta = 0
\end{array}$$  
B)  $$\csc \theta = - 1$$
$\tan \theta$ is undefined.
$$\cos \theta = 1$$  
C) $$\csc \theta = - 1$$
$\tan \theta$ is undefined.
$$\cos \theta = 0$$ 
D)  $$\csc \theta = - 1$$
$\tan \theta$ is undefined.
$$\cos \theta = - 1$$  
E)  $$\csc \theta = 1$$
$\tan \theta$ is undefined.
$$\cos \theta = - 1$$

Quizplus · Accepted Answer

Given $\sin \theta = -1$, $\csc \theta = \frac{1}{\sin \theta} = -1$. Since $\cot \theta = 0$, $\tan \theta = \frac{1}{\cot \theta}$ is undefined. For $\sin^2 \theta + \cos^2 \theta = 1$, with $\sin \theta = -1$, $\cos \theta = 0$.

Use the Given Values to Evaluate (If Possible) Three Trigonometric csc⁡θ,tan⁡θ,cos⁡θ\csc \theta , \tan \theta , \cos \thetacscθ,tanθ,cosθ

Use the Given Values to Evaluate (If Possible) Three Trigonometric $\csc \theta , \tan \theta , \cos \theta$