Angles, arcs and sectors

1003023311

Level: 
A
Which of the given degree values is not of the angle coterminal to the angle of \( 60^{\circ} \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( 300^{\circ} \)
\( -300^{\circ} \)
\( -660^{\circ} \)
\( 420^{\circ} \)

1003023307

Level: 
B
The radian measure of the angle \( \theta \) is \( \frac{\pi}3 \). How many values from the set \( M = \left\{\frac43\pi; \frac73\pi; \frac83\pi; \frac{13}3\pi; -\frac53\pi; \frac{61}3\pi; -\frac{61}3\pi \right\} \) are the measures of angles coterminal to \( \theta \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( 4 \)
\( 5 \)
\( 6 \)
\( 3 \)

1003023306

Level: 
B
The radian measure of the angle \( \theta \) is \( \frac{\pi}2 \). What is the sum of all the radian measures of the angles coterminal to \( \theta \) from the interval \( [-5\pi; 5\pi] \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( \frac52\pi \)
\( 0 \)
\( 3\pi \)
\( \pi \)

1003023305

Level: 
A
Select the set that does not contain the measures of coterminal angles with an angle of radian measure \( \frac{\pi}3 \). (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( \left\{\frac43\pi;\ -\frac{10}3\pi \right\} \)
\( \left\{\frac73\pi;\ -\frac53\pi \right\} \)
\( \left\{\frac{13}3\pi;\ \frac{61}3\pi \right\} \)
\( \left\{\frac{19}3\pi;\ \frac{25}3\pi \right\} \)

1003023304

Level: 
A
Which of the given degree values is of the angle coterminal to the angle of \( -2000^{\circ} \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( 160^{\circ} \)
\(-160^{\circ} \)
\( -20^{\circ} \)
\( 200^{\circ} \)

1003023303

Level: 
A
Which value is the measure of an angle that is coterminal with an angle of radian measure \( \frac{23}3\pi \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( \frac53\pi \)
\( \frac13\pi \)
\( -\frac53\pi \)
\( -\frac43\pi \)

1003023302

Level: 
A
Select the measure of an angle that is coterminal to an angle of \( 40^{\circ} \). (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( 400^{\circ} \)
\( 440^{\circ} \)
\( 360^{\circ} \)
\( 800^{\circ} \)