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 11

Multiple Choice

Construct an appropriate triangle to complete the table. $$\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } , 0 ^ { \circ } \leq \theta \leq \frac { \pi } { 2 } \right)$$ Function $$\begin{array} { | c | c | l | l | } \hline \text { Function } & \theta ( \text { deg } ) & \theta ( \text { rad } ) & \text { Function Value } \\\hline \sin & 45 ^ { \circ } & & \\\hline\end{array}$$

• A)? \[\begin{array} { | c | c | c | c | }
• \hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \\
• \hline \sin & 45 & \frac { \pi } { 4 } & \frac { \sqrt { 2 } } { 2 } \\\\
• \hline
• \end{array}\]
• B)? \[\begin{array} { | c | c | c | c | }
• \hline \text { Function } & \theta ( \text { deg } ) & \theta ( \text { rad } ) & \text { Function Value } \\
• \hline \sin & 45 & \frac { \pi } { 3 } & \frac { \sqrt { 3 } } { 2 } \\\\
• \hline
• \end{array}\]
• C)? \[\begin{array} { | c | c | c | c | }
• \hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \\
• \hline \sin & 45 & 0 & 0 \\
• \hline
• \end{array}\]
• D)? \[\begin{array} { | c | c | c | c | }
• \hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \text { rad } ) & \text { Function Value } \\
• \hline \sin & 45 & \frac { \pi } { 2 } & 1
• \end{array}\]
• E)? \[\begin{array} { | c | c | c | c | }
• \hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \\
• \hline \sin & 45 & \frac { \pi } { 6 } & \frac { 1 } { 2 } \\
• \hline
• \end{array}\]

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Definitions:

Independent Variable

The variable in an experiment that is manipulated or changed by the researcher to observe its effect on the dependent variable.

Manipulated

Being controlled or influenced in an unfair or deceitful way, often without awareness of the manipulation.

Research Question

A precise, clearly stated question that outlines the problem or area of interest to be investigated through research.

Hypothesis

A preliminary hypothesis formed on the grounds of scant evidence, aimed at facilitating further investigative work.