Use a graphing utility to complete the table. $$\begin{array} { | c | c | c | c | c | c | }
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & & & & & \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & & & & & \
\hline
\end{array}$$
A) $$\begin{array} { | c | c | c | c | c | c | }
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & 0.94 & 0.5 & 0.77 & 0.87 & 0.5 \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & 0.94 & 0.5 & 0.77 & 0.87 & 0.5 \
\hline
\end{array}$$
B) $$\begin{array} { | c | c | c | c | c | c | }
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & 0.5 & 0.64 & 0.77 & 0.87 & 0.94 \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & 0.94 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline
\end{array}$$
C) $$\begin{array} { | c | c | c | c | c | c | }
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & 0.94 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & 0.94 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline
\end{array}$$
D) $$\begin{array} { | c | c | c | c | c | c | }
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & 0.94 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & 0.5 & 0.64 & 0.77 & 0.87 & 0.94 \
\hline
\end{array}$$
E) $$\begin{array} { | c | c | c | c | c | c | }
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & 0 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & 0 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline
\end{array}$$

Question

Use a graphing utility to complete the table. $$\begin{array} { | c | c | c | c | c | c | } 
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & & & & & \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & & & & & \
\hline
\end{array}$$
A) $$\begin{array} { | c | c | c | c | c | c | } 
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & 0.94 & 0.5 & 0.77 & 0.87 & 0.5 \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & 0.94 & 0.5 & 0.77 & 0.87 & 0.5 \
\hline
\end{array}$$
B) $$\begin{array} { | c | c | c | c | c | c | } 
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & 0.5 & 0.64 & 0.77 & 0.87 & 0.94 \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & 0.94 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline
\end{array}$$
C) $$\begin{array} { | c | c | c | c | c | c | } 
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & 0.94 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & 0.94 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline
\end{array}$$
D) $$\begin{array} { | c | c | c | c | c | c | } 
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & 0.94 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & 0.5 & 0.64 & 0.77 & 0.87 & 0.94 \
\hline
\end{array}$$
E) $$\begin{array} { | c | c | c | c | c | c | } 
\hline \theta & 20 ^ { \circ } & 30 ^ { \circ } & 40 ^ { \circ } & 50 ^ { \circ } & 60 ^ { \circ } \
\hline \cos \theta & 0 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline \sin \left( 90 ^ { \circ } - \theta \right) & 0 & 0.87 & 0.77 & 0.64 & 0.5 \
\hline
\end{array}$$

Quizplus · Accepted Answer

The cosine of an angle is equal to the sine of its complementary angle, i.e., $\cos(\theta) = \sin(90^\circ - \theta)$. The values in option C correctly reflect this identity for the given angles.

Use a Graphing Utility to Complete the Table A) B)