Refer to the Figure, Which Shows All of the Angles $$0 ^ { \circ }$$

question 9

Multiple Choice

Refer to the figure, which shows all of the angles from $$0 ^ { \circ }$$ to $360 ^ { \circ }$ that are multiples of $30 ^ { \circ }$ or $45 ^ { \circ }$ . Relabel the angles in Quadrant I and II using radian measure.

• A) \[\begin{array} { | c | c | c | c | c | c | } \hline 30 ^ { \circ } & 45 ^ { \circ } & 60 ^ { \circ } & 120 ^ { \circ } & 135 ^ { \circ } & 150 ^ { \circ } \\ \hline \frac { \pi } { 4 } & \frac { \pi } { 3 } & \frac { \pi } { 6 } & \frac { 3 \pi } { 2 } & \frac { 6 \pi } { 7 } & \frac { 5 \pi } { 9 } \\ \hline \end{array}\]
• B) \[\begin{array} { | c | c | c | c | c | c | } \hline 30 ^ { \circ } & 45 ^ { \circ } & 60 ^ { \circ } & 120 ^ { \circ } & 135 ^ { \circ } & 150 ^ { \circ } \\ \hline \frac { 7 \pi } { 6 } & \frac { 5 \pi } { 4 } & \frac { 4 \pi } { 3 } & \frac { 5 \pi } { 3 } & \frac { 7 \pi } { 4 } & \frac { 11 \pi } { 6 } \\ \hline \end{array}\]
• C) \[\begin{array} { | c | c | c | c | c | c | } \hline 30 ^ { \circ } & 45 ^ { \circ } & 60 ^ { \circ } & 120 ^ { \circ } & 135 ^ { \circ } & 150 ^ { \circ } \\ \hline \frac { 3 \pi } { 4 } & \frac { 2 \pi } { 5 } & \frac { 4 \pi } { 7 } & \frac { \pi } { 4 } & \frac { 2 \pi } { 3 } & \frac { 5 \pi } { 2 } \\ \hline \end{array}\]
• D) \[\begin{array} { | c | c | c | c | c | c | } \hline 30 ^ { \circ } & 45 ^ { \circ } & 60 ^ { \circ } & 120 ^ { \circ } & 135 ^ { \circ } & 150 ^ { \circ } \\ \hline \frac { \pi } { 6 } & \frac { \pi } { 4 } & \frac { \pi } { 3 } & \frac { 2 \pi } { 3 } & \frac { 3 \pi } { 4 } & \frac { 5 \pi } { 6 } \\ \hline \end{array}\]
• E) \[\begin{array} { | c | c | c | c | c | c | } \hline 30 ^ { \circ } & 45 ^ { \circ } & 60 ^ { \circ } & 120 ^ { \circ } & 135 ^ { \circ } & 150 ^ { \circ } \\ \hline \frac { 7 \pi } { 6 } & \frac { \pi } { 3 } & \frac { \pi } { 5 } & \frac { 2 \pi } { 3 } & \frac { 3 \pi } { 7 } & \frac { 3 \pi } { 2 } \\ \hline \end{array}\]

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