Use the following information to express the remaining five trigonometric values as functions of $u$ . Assume that $u$ is positive. Rationalize any denominators that contain radicals. $\sin \theta = - u ^ { 2 } , 270 ^ { \circ }

Question

Use the following information to express the remaining five trigonometric values as functions of $u$ . Assume that $u$ is positive. Rationalize any denominators that contain radicals. $\sin \theta = - u ^ { 2 } , 270 ^ { \circ } < \theta < 360 ^ { \circ }$
A) $\begin{array} { l } 
\tan \theta = - \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = - \frac { 1 } { u ^ { 2 } } , \quad \cos \theta = \sqrt { 1 - u ^ { 4 } } , \
\cot \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } .
\end{array}$
B) $\begin{array} { l } 
\tan \theta = - \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = \sqrt { 1 + u ^ { 4 } } , \
\cot \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = - \frac { 1 } { u ^ { 2 } } .
\end{array}$
C) $\begin{array} { l } 
\tan \theta = - \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = \sqrt { 1 - u ^ { 4 } } , \
\cot \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = - \frac { 1 } { u ^ { 2 } } .
\end{array}$
D) $\begin{array} { l } 
\tan \theta = \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = - \sqrt { 1 - u ^ { 4 } } , \
\cot \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = \frac { 1 } { u ^ { 2 } } .
\end{array}$
E) $\begin{array} { l l } 
\tan \theta = \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , & \sec \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = \sqrt { 1 - u ^ { 4 } } , \
\cot \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , & \csc \theta = \frac { 1 } { u ^ { 2 } } .
\end{array}$

Quizplus · Accepted Answer

The Answer of Use the following information to express the remaining five trigonometric values as functions of $u$ . Assume that $u$ is positive. Rationalize any denominators that contain radicals. $\sin \theta = - u ^ { 2 } , 270 ^ { \circ } < \theta < 360 ^ { \circ }$
A) $\begin{array} { l } 
\tan \theta = - \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = - \frac { 1 } { u ^ { 2 } } , \quad \cos \theta = \sqrt { 1 - u ^ { 4 } } , \
\cot \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } .
\end{array}$
B) $\begin{array} { l } 
\tan \theta = - \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = \sqrt { 1 + u ^ { 4 } } , \
\cot \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = - \frac { 1 } { u ^ { 2 } } .
\end{array}$
C) $\begin{array} { l } 
\tan \theta = - \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = \sqrt { 1 - u ^ { 4 } } , \
\cot \theta = - \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = - \frac { 1 } { u ^ { 2 } } .
\end{array}$
D) $\begin{array} { l } 
\tan \theta = \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \sec \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = - \sqrt { 1 - u ^ { 4 } } , \
\cot \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , \quad \csc \theta = \frac { 1 } { u ^ { 2 } } .
\end{array}$
E) $\begin{array} { l l } 
\tan \theta = \frac { u ^ { 2 } \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , & \sec \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { 1 - u ^ { 4 } } , \quad \cos \theta = \sqrt { 1 - u ^ { 4 } } , \
\cot \theta = \frac { \sqrt { 1 - u ^ { 4 } } } { u ^ { 2 } } , & \csc \theta = \frac { 1 } { u ^ { 2 } } .
\end{array}$

Use the Following Information to Express the Remaining Five Trigonometric uuu

Use the Following Information to Express the Remaining Five Trigonometric $u$