2000005705
Level:
A
Reduce the angle \(1180^{\circ}\) to a coterminal angle with the measure between \(0^{\circ}\) and \(360^{\circ}\).
\(100^{\circ}\)
\(260^{\circ}\)
\(60^{\circ}\)
\(160^{\circ}\)
Angles, arcs and sectors
2000005706
Level:
A
Find a coterminal angle to \(-\pi\) with radian measure between \(0\) and \(2\pi\).
\(\pi\)
\(0\)
\(\frac{\pi}{2}\)
\(\frac{3}{2}\pi\)
2000005707
Level:
A
Which of the angles takes the same position on the unit circle as the angle \( \beta = \frac{3}{4}\pi\)?
\(\frac{19}{4}\pi\)
\(\frac{23}{4}\pi\)
\(\frac{21}{4}\pi\)
\(\frac{7}{4}\pi\)
2000005708
Level:
A
Determine the quadrant in which lies the terminal arm of the angle \(\frac{17}{3}\pi\) in standard position and measured counterclockwise.
\( IV.\)
\( III.\)
\( II.\)
\( I.\)
2000005709
Level:
A
Determine the quadrant in which lies the terminal arm of the angle \(17.7\pi\) in standard position and measured counterclockwise.
\( IV.\)
\( II.\)
\( I.\)
\( III.\)
2000005710
Level:
A
Determine the quadrant in which lies the terminal arm of the angle \(\varphi =10\,\mathrm{rad}\) in standard position and measured counterclockwise.
\( III.\)
\(II.\)
\(I.\)
\(IV.\)
2010007201
Level:
A
Select such a pair of numbers that represents measures of two coterminal angles. (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( -\frac{13}2\pi;\ 5.5\pi \)
\( \frac{17}2\pi;\ 15.5\pi \)
\( -\frac{9}2\pi;\ \frac{9}{2}\pi \)
\( -15.5\pi;-\frac{21}2\pi \)
2010007202
Level:
A
Express the degree measure of an angle if its radian measure is \( \frac{8\pi}{15} \).
\( 96^{\circ} \)
\( 84^{\circ} \)
\( 264^{\circ} \)
\( 204^{\circ} \)
2010007203
Level:
A
Select the measure of an angle that is coterminal to an angle of \( 70^{\circ} \). (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( 430^{\circ} \)
\( 360^{\circ} \)
\( 290^{\circ} \)
\( 860^{\circ} \)
2010007204
Level:
A
Which of the given degree values is of the angle coterminal to the angle of \( -1500^{\circ} \)? (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( 300^{\circ} \)
\( -300^{\circ} \)
\( 60^{\circ} \)
\( -120^{\circ} \)