1003023205
Level:
A
Express the degree measure of an angle if its radian measure is \( \frac{5\pi}{12} \).
\( 75^{\circ} \)
\( 105^{\circ} \)
\( 225^{\circ} \)
\( 285^{\circ} \)
Angles, arcs and sectors
1003023301
Level:
A
Which value is not the measure of an angle that is coterminal with an angle of radian measure \( \frac23\pi \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( -\frac13\pi \)
\( -\frac43\pi \)
\( \frac83\pi \)
\( -\frac{10}3\pi \)
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.)
\( 400^{\circ} \)
\( 440^{\circ} \)
\( 360^{\circ} \)
\( 800^{\circ} \)
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.)
\( \frac53\pi \)
\( \frac13\pi \)
\( -\frac53\pi \)
\( -\frac43\pi \)
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.)
\( 160^{\circ} \)
\(-160^{\circ} \)
\( -20^{\circ} \)
\( 200^{\circ} \)
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.)
\( \left\{\frac43\pi;\ -\frac{10}3\pi \right\} \)
\( \left\{\frac73\pi;\ -\frac53\pi \right\} \)
\( \left\{\frac{13}3\pi;\ \frac{61}3\pi \right\} \)
\( \left\{\frac{19}3\pi;\ \frac{25}3\pi \right\} \)
1003023310
Level:
A
Which of the given radian measures is of the angle coterminal to the angle of \( -50\pi \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( 0 \)
\( \pi \)
\( 3\pi \)
\( -\pi \)
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.)
\( 300^{\circ} \)
\( -300^{\circ} \)
\( -660^{\circ} \)
\( 420^{\circ} \)
1003023401
Level:
A
An angle of radian measure \( 1 \) is in standard position. In which quadrant lies its terminal side?
I.
II.
III.
IV.
1103023106
Level:
A
Which of the angles \( \alpha \), \( \beta \), \( \gamma \), \( \delta \) takes the same position on the unit circle as the angle \( APB \)?
\( \alpha = 123^{\circ} \)
\( \beta = -100^{\circ} \)
\( \gamma = -340^{\circ} \)
\( \delta = -380^{\circ} \)