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

question 16

Multiple Choice

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

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

---

Definitions:

P < ATC

A situation where the price of a good is less than the average total cost of producing that good, indicating a potential loss to the firm.

Optimal Output

The level of production where marginal cost is equal to marginal revenue, maximizing profit or utility.

Herfindahl Index

A method for evaluating market concentration by squaring individual firms' market shares and then aggregating these squared figures.

Concentration Ratios

Measures that indicate the extent of market control by the largest firms in an industry, reflecting the level of competition.