9000033907
Level:
A
Convert \(\frac{6}
{5}\pi \)
radians to degrees.
\(216^{\circ }\)
\(432^{\circ }\)
\(116^{\circ }\)
\(378^{\circ }\)
A
9000033905
Level:
A
In the interval \([0^{\circ };360^{\circ })\) find the angle
equivalent to the angle \(- 428^{\circ }\).
\(292^{\circ }\)
\(192^{\circ }\)
\(68^{\circ }\)
\(168^{\circ }\)
9000033904
Level:
A
In the interval \([0;2\pi )\) find the angle
equivalent to the angle \(-\frac{17}
{3} \pi \).
\(\frac{\pi }{3}\)
\(\frac{2}
{3}\pi \)
\(\frac{4}
{3}\pi \)
\(\frac{5}
{3}\pi \)
9000033902
Level:
A
Associate the angle \(\frac{7}
{8}\pi \)
to the corresponding quadrant.
II.
I.
III.
IV.
9000033901
Level:
A
Associate the angle \(\frac{7}
{6}\pi \)
to the corresponding quadrant.
III.
I.
II.
IV.
9000033903
Level:
A
In the interval \([0;2\pi )\) find the angle
equivalent to the angle \(\frac{21}
{6} \pi \).
\(\frac{3}
{2}\pi \)
\(\frac{\pi }{2}\)
\(\frac{\pi }
{3}\)
\(\frac{2}
{3}\pi \)
9000034706
Level:
A
Consider the inequality
\[
px^{2} - 2x + 2 > 0
\]
with the real parameter \(p\).
Solve this inequality for \(p = 0\).
\((-\infty ;1)\)
\((-\infty ;-1)\)
\((-1;\infty )\)
\((1;\infty )\)
9000034804
Level:
A
Find the absolute value of the complex number
\(z = 3 -\mathrm{i}\).
\(\sqrt{10}\)
\(2\)
\(2\sqrt{2}\)
\(\sqrt{2}\)
9000032002
Level:
A
Evaluate
\(\mathop{\mathrm{tg}}\nolimits \left (0\right )\).
\(0\)
\(\sqrt{3}\)
\(\frac{\sqrt{3}}
{3} \)
\(\frac{\sqrt{2}}
{2} \)
\(1\)
\(-\frac{\sqrt{3}}
{3} \)
9000032105
Level:
A
Evaluate
\(\cos \left ( \frac{\pi }{2}\right )\).
\(0\)
\(- 1\)
\(\frac{\sqrt{3}}
{3} \)
\(\sqrt{3}\)
\(1\)
\(-\frac{\sqrt{3}}
{3} \)