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Construct an Appropriate Triangle to Complete the Table (0θ90,0θπ2)\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. (0θ90,0θπ2) \left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } , 0 ^ { \circ } \leq \theta \leq \frac { \pi } { 2 } \right)  Function θ(deg) θ( rad )  Function Value tanπ2\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}
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A) ?  Function θ(deg) θ(rad)  Function Value tan90π2 Not defined \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) ?  Function θ(deg) θ(rad)  Function Value tan45π21\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) ?  Function θ( deg ) θ( rad )  Function Value tan60π23\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) ?  Function θ(deg) θ(rad)  Function Value tan0π20\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) ?  Function θ(deg) θ(rad)  Function Value tan30π233\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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