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)? $$\begin{array} { | c | c | c | c | }
\hline \text { Function } & \theta ( \mathrm { deg } ) & \theta ( \mathrm { rad } ) & \text { Function Value } \
\hline \sin & 45 & \frac { \pi } { 6 } & \frac { 1 } { 2 } \
\hline
\end{array}$$

Question

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

Quizplus · Accepted Answer

45 degrees is equivalent to $\frac{\pi}{4}$ radians, and the sine of 45 degrees (or $\frac{\pi}{4}$ radians) is $\frac{\sqrt{2}}{2}$.

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 $\left( 0 ^ { \circ } \leq \theta \leq 90 ^ { \circ } , 0 ^ { \circ } \leq \theta \leq \frac { \pi } { 2 } \right)$