Construct an Appropriate Triangle to Complete the Table $\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } , 0 ^ { \circ } \leq \theta \leq \frac { \pi } { 2 } \right)$

Multiple Choice

Construct an appropriate triangle to complete the table. $\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } , 0 ^ { \circ } \leq \theta \leq \frac { \pi } { 2 } \right)$ $$\begin{array} { | c | c | c | c | } \hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \text { rad } ) & \text { Function Value } \\\hline \mathrm { sec } & & \frac { \pi } { 3 } & \\\hline\end{array}$$

A) ? $$\begin{array} { | c | c | c | c | } \hline \text { Function } & \theta ( \text { deg } ) & \theta ( \text { rad } ) & \text { Function Value } \\\hline \text { sec } & 45 ^ { \circ } & \frac { \pi } { 3 } & \sqrt { 2 } \\\hline\end{array}$$
B) ? $$\begin{array} { | c | c | c | c | } \hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \\\hline \text { sec } & 90 ^ { \circ } & \frac { \pi } { 3 } & \text { Not defined } \\\hline\end{array}$$
C) ? $$\begin{array} { | c | c | c | c | } \hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \\\hline \mathrm { sec } & 60 ^ { \circ } & \frac { \pi } { 3 } & 2 \\\hline\end{array}$$
D) ? $$\begin{array} { | c | c | c | c | } \hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \\\hline \mathrm { sec } & 0 ^ { \circ } & \frac { \pi } { 3 } & 1 \\\hline\end{array}$$
E) ? $$\begin{array} { | c | c | c | c | } \hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \text { rad } ) & \text { Function Value } \\\hline \mathrm { sec } & 30 ^ { \circ } & \frac { \pi } { 3 } & \frac { 2 \sqrt { 3 } } { 3 } \\\hline\end{array}$$