Evaluate (if possible) the sine, cosine, and tangent of the real number. $t = - 7 \pi$
A) $t = - 7 \pi$ corresponds to the point $( x , y ) = ( 0 , - 1 )$ . $$\begin{array} { l }
\sin ( - 7 \pi ) = - 1 \
\cos ( - 7 \pi ) = 0
\end{array}$$
$\tan ( - 7 \pi )$ is undefined.
B) $t = - 7 \pi$ corresponds to the point $( x , y ) = ( - 1,0 )$ . $$\begin{array} { l }
\sin ( - 7 \pi ) = - 1 \
\cos ( - 7 \pi ) = 0
\end{array}$$
$\tan ( - 7 \pi )$ is undefined.
C) $t = - 7 \pi$ corresponds to the point $( x , y ) = ( 0 , - 1 )$ . $$\begin{array} { l }
\sin ( - 7 \pi ) = 0 \
\cos ( - 7 \pi ) = 0
\end{array}$$
$\tan ( - 7 \pi )$ is undefined.
D) $t = - 7 \pi$ corresponds to the point $( x , y ) = ( - 1,0 )$ . $\begin{array} { l }
\sin ( - 7 \pi ) = 0 \
\cos ( - 7 \pi ) = - 1 \
\tan ( - 7 \pi ) = 0
\end{array}$
E)Not possible

Question

Evaluate (if possible) the sine, cosine, and tangent of the real number.   $t = - 7 \pi$  
A) $t = - 7 \pi$ corresponds to the point $( x , y ) = ( 0 , - 1 )$ . $$\begin{array} { l } 
\sin ( - 7 \pi ) = - 1 \
\cos ( - 7 \pi ) = 0
\end{array}$$
$\tan ( - 7 \pi )$ is undefined.
B) $t = - 7 \pi$ corresponds to the point $( x , y ) = ( - 1,0 )$ . $$\begin{array} { l } 
\sin ( - 7 \pi ) = - 1 \
\cos ( - 7 \pi ) = 0
\end{array}$$
$\tan ( - 7 \pi )$ is undefined.
C) $t = - 7 \pi$ corresponds to the point $( x , y ) = ( 0 , - 1 )$ . $$\begin{array} { l } 
\sin ( - 7 \pi ) = 0 \
\cos ( - 7 \pi ) = 0
\end{array}$$
$\tan ( - 7 \pi )$ is undefined.
D) $t = - 7 \pi$ corresponds to the point $( x , y ) = ( - 1,0 )$ . $\begin{array} { l } 
\sin ( - 7 \pi ) = 0 \
\cos ( - 7 \pi ) = - 1 \
\tan ( - 7 \pi ) = 0
\end{array}$
E)Not possible

Quizplus · Accepted Answer

The angle $t = -7\pi$ is equivalent to $\pi$ (or $180^\circ$) when considering its position on the unit circle, since rotating $2\pi$ (or $360^\circ$) doesn't change the angle's terminal side's position. At $\pi$, the coordinates are $(-1, 0)$, making $\sin(-7\pi) = 0$, $\cos(-7\pi) = -1$, and $\tan(-7\pi) = 0/\(-1$ = 0.

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