Angles, arcs and sectors

2010007206

Level: 
B
The radian measure of the angle \( \varphi \) is \( \frac{\pi}4 \). What is the sum of all the radian measures of the angles coterminal to \( \varphi \) 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.)
\( \frac54\pi \)
\( 2\pi \)
\(0 \)
\( \frac34\pi \)

2010007205

Level: 
A
Select the set that does not contain the measures of coterminal angles with an angle of radian measure \( \frac{\pi}4 \). (Two angles are coterminal if they are drawn in the standard position and both have their terminal sides in the same location.)
\( \left\{\frac54\pi;\, -\frac{21}4\pi \right\} \)
\( \left\{\frac94\pi;\, -\frac74\pi \right\} \)
\( \left\{\frac{17}4\pi;\, \frac{41}4\pi \right\} \)
\( \left\{\frac{33}4\pi;\, \frac{49}4\pi \right\} \)

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.)
\( 300^{\circ} \)
\( -300^{\circ} \)
\( 60^{\circ} \)
\( -120^{\circ} \)

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.)
\( 430^{\circ} \)
\( 360^{\circ} \)
\( 290^{\circ} \)
\( 860^{\circ} \)

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.)
\( -\frac{13}2\pi;\ 5.5\pi \)
\( \frac{17}2\pi;\ 15.5\pi \)
\( -\frac{9}2\pi;\ \frac{9}{2}\pi \)
\( -15.5\pi;-\frac{21}2\pi \)