Construct an appropriate triangle to complete the table. $\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } , 0 ^ { \circ } \leq \theta \leq \frac { \pi } { 2 } \right)$ $$\begin{array} { | c | c | c | c | }
\hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \
\hline \mathrm { csc } & & \frac { \pi } { 6 } & \
& & & \
\hline
\end{array}$$
A)? $$\begin{array} { | c | c | c | c | }
\hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \
\hline \csc & 30 ^ { \circ } & \frac { \pi } { 6 } & 2 \
\hline
\end{array}$$
B)? $$\begin{array} { | c | c | c | c | }
\hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \text { rad } ) & \text { Function Value } \
\hline \csc & 90 ^ { \circ } & \frac { \pi } { 6 } & 1 \
\hline
\end{array}$$
C)? $$\begin{array} { | c | c | c | c | }
\hline \text { Function } & \theta ( \text { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \
\hline \csc & 45 ^ { \circ } & \frac { \pi } { 6 } & \sqrt { 2 } \
\hline
\end{array}$$ ?
D)? $$\begin{array} { | c | c | c | c | }
\hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \
\hline \mathrm { csc } & 0 ^ { \circ } & \frac { \pi } { 6 } & 0 \
\hline
\end{array}$$
E)? $$\begin{array} { | c | c | c | c | }
\hline \text { Function } & \theta ( \text { deg } ) & \theta ( \text { rad } ) & \text { Function Value } \
\hline \csc & 30 ^ { \circ } & \frac { \pi } { 6 } & \frac { 2 \sqrt { 3 } } { 3 } \
\hline
\end{array}$$

Question

Construct an appropriate triangle to complete the table. $\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } , 0 ^ { \circ } \leq \theta \leq \frac { \pi } { 2 } \right)$ $$\begin{array} { | c | c | c | c | } 
\hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \
\hline \mathrm { csc } & & \frac { \pi } { 6 } & \
& & & \
\hline
\end{array}$$
A)? $$\begin{array} { | c | c | c | c | } 
\hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \
\hline \csc & 30 ^ { \circ } & \frac { \pi } { 6 } & 2 \
\hline
\end{array}$$
B)? $$\begin{array} { | c | c | c | c | } 
\hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \text { rad } ) & \text { Function Value } \
\hline \csc & 90 ^ { \circ } & \frac { \pi } { 6 } & 1 \
\hline
\end{array}$$
C)? $$\begin{array} { | c | c | c | c | } 
\hline \text { Function } & \theta ( \text { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \
\hline \csc & 45 ^ { \circ } & \frac { \pi } { 6 } & \sqrt { 2 } \
\hline
\end{array}$$ ?
D)? $$\begin{array} { | c | c | c | c | } 
\hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \
\hline \mathrm { csc } & 0 ^ { \circ } & \frac { \pi } { 6 } & 0 \
\hline
\end{array}$$
E)? $$\begin{array} { | c | c | c | c | } 
\hline \text { Function } & \theta ( \text { deg } ) & \theta ( \text { rad } ) & \text { Function Value } \
\hline \csc & 30 ^ { \circ } & \frac { \pi } { 6 } & \frac { 2 \sqrt { 3 } } { 3 } \
\hline
\end{array}$$

Quizplus · Accepted Answer

The csc function is the reciprocal of the sin function. For $\theta = 30^\circ$ or $\frac{\pi}{6}$ radians, $\sin(\theta) = \frac{1}{2}$, so $\csc(\theta) = \frac{1}{\sin(\theta)} = 2$.

Construct an Appropriate Triangle to Complete the Table (0∘≤θ≤90∘,0∘≤θ≤π2)\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } , 0 ^ { \circ } \leq \theta \leq \frac { \pi } { 2 } \right)(0∘≤θ≤90∘,0∘≤θ≤2π​)

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