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 42

Multiple Choice

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

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

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Definitions:

Transcription

The process of copying a segment of DNA into RNA, which can be used to produce proteins.

Transcription Factors

Proteins that bind to specific DNA sequences, thereby controlling the rate of transcription of genetic information from DNA to messenger RNA.

Gene Expression

The process by which information from a gene is used in the synthesis of a functional gene product, often proteins, which can affect the phenotype of the organism.

Operon

A group of genes in prokaryotes that are transcribed together and regulated by a single promoter and operator sequence, facilitating coordinated expression of genes with related functions.