Evaluate (if possible) the sine, cosine, and tangent of the real number. $t = - \frac { 3 \pi } { 2 }$
A) $t = - \frac { 3 \pi } { 2 }$ corresponds to the point $( x , y ) = ( 0,0 )$ . $\begin{array} { l }
\sin \left( - \frac { 3 \pi } { 2 } \right) = 0 \
\cos \left( - \frac { 3 \pi } { 2 } \right) = 0 \
\tan \left( - \frac { 3 \pi } { 2 } \right) = 0
\end{array}$
B) $t = - \frac { 3 \pi } { 2 }$ corresponds to the point $( x , y ) = ( 1,0 )$ . $\begin{array} { l }
\sin \left( - \frac { 3 \pi } { 2 } \right) = 1 \
\cos \left( - \frac { 3 \pi } { 2 } \right) = 0 \
\tan \left( - \frac { 3 \pi } { 2 } \right) = 0
\end{array}$
C) $t = - \frac { 3 \pi } { 2 }$ corresponds to the point $( x , y ) = ( 0,1 )$ . $$\begin{array} { l }
\sin \left( - \frac { 3 \pi } { 2 } \right) = 1 \
\cos \left( - \frac { 3 \pi } { 2 } \right) = 0
\end{array}$$
$\tan \left( - \frac { 3 \pi } { 2 } \right)$ is undefined.
D) $t = - \frac { 3 \pi } { 2 }$ corresponds to the point $( x , y ) = ( 1,0 )$ . $\begin{array} { l }
\sin \left( - \frac { 3 \pi } { 2 } \right) = 0 \
\cos \left( - \frac { 3 \pi } { 2 } \right) = 1 \
\tan \left( - \frac { 3 \pi } { 2 } \right) = 0
\end{array}$
E)Not possible

Question

Evaluate (if possible) the sine, cosine, and tangent of the real number.   $t = - \frac { 3 \pi } { 2 }$  
A) $t = - \frac { 3 \pi } { 2 }$ corresponds to the point $( x , y ) = ( 0,0 )$ . $\begin{array} { l } 
\sin \left( - \frac { 3 \pi } { 2 } \right) = 0 \
\cos \left( - \frac { 3 \pi } { 2 } \right) = 0 \
\tan \left( - \frac { 3 \pi } { 2 } \right) = 0
\end{array}$
B) $t = - \frac { 3 \pi } { 2 }$ corresponds to the point $( x , y ) = ( 1,0 )$ . $\begin{array} { l } 
\sin \left( - \frac { 3 \pi } { 2 } \right) = 1 \
\cos \left( - \frac { 3 \pi } { 2 } \right) = 0 \
\tan \left( - \frac { 3 \pi } { 2 } \right) = 0
\end{array}$
C) $t = - \frac { 3 \pi } { 2 }$ corresponds to the point $( x , y ) = ( 0,1 )$ . $$\begin{array} { l } 
\sin \left( - \frac { 3 \pi } { 2 } \right) = 1 \
\cos \left( - \frac { 3 \pi } { 2 } \right) = 0
\end{array}$$
$\tan \left( - \frac { 3 \pi } { 2 } \right)$ is undefined.
D) $t = - \frac { 3 \pi } { 2 }$ corresponds to the point $( x , y ) = ( 1,0 )$ . $\begin{array} { l } 
\sin \left( - \frac { 3 \pi } { 2 } \right) = 0 \
\cos \left( - \frac { 3 \pi } { 2 } \right) = 1 \
\tan \left( - \frac { 3 \pi } { 2 } \right) = 0
\end{array}$  
E)Not possible

Quizplus · Accepted Answer

The angle $-\frac{3\pi}{2}$ corresponds to a rotation of 270 degrees clockwise, landing on the positive y-axis, where the coordinates are $(0, 1)$. Thus, $\sin(-\frac{3\pi}{2}) = 1$, $\cos(-\frac{3\pi}{2}) = 0$, and $\tan(-\frac{3\pi}{2})$ is undefined because division by zero occurs.

Evaluate (If Possible) the Sine, Cosine, and Tangent of the Real