9000033906
Level:
A
In the interval \([0^{\circ };360^{\circ })\) find the angle
coterminal with the angle \(1\: 000^{\circ }\).
\(280^{\circ }\)
\(180^{\circ }\)
\(240^{\circ }\)
\(300^{\circ }\)
A
9000034806
Level:
A
Simplify \(\mathrm{i}^{15}\).
\(-\mathrm{i}\)
\(- 1\)
\(1\)
\(\mathrm{i}\)
9000034902
Level:
A
Find the domain of the following expression.
\[
\log _{2}\left [\left (\frac{2}
{3} - x\right )\left (x + \frac{1}
{4}\right )\right ]
\]
\(\left (-\frac{1}
{4}; \frac{2}
{3}\right )\)
\(\left (-\infty ;-\frac{1}
{4}\right ] \cup \left [ \frac{2}
{3};\infty \right )\)
\(\left (-\infty ;-\frac{1}
{4}\right )\cup \left (\frac{2}
{3};\infty \right )\)
\(\left [ \frac{1}
{4}; \frac{2}
{3}\right ] \)
9000034805
Level:
A
Find the complex number \(z\)
which satisfies \(2z = 2 - 3\mathrm{i}\).
\(1 -\frac{3}
{2}\mathrm{i}\)
\(- 3\mathrm{i}\)
\(4 - 6\mathrm{i}\)
\(- 1 + \frac{3}
{2}\mathrm{i}\)
9000034904
Level:
A
Find all \(x\in \mathbb{R}\)
for which the following expression is undefined.
\[
\log _{\frac{1}
{4} }\left [\left (x + \frac{1}
{2}\right )\left (5 - 2x\right )\right ]
\]
\(\left (-\infty ;-\frac{1}
{2}\right ] \cup \left [ \frac{5}
{2};\infty \right )\)
\(\left [ -\frac{1}
{2}; \frac{5}
{2}\right ] \)
\(\left (-\frac{1}
{2}; \frac{5}
{2}\right )\)
\(\left (-\infty ;-\frac{1}
{2}\right )\cup \left (\frac{5}
{2};\infty \right )\)
9000033909
Level:
A
Convert the angle \(240^{\circ }\)
to radians.
\(\frac{4}
{3}\pi \)
\(\frac{8}
{3}\pi \)
\(\frac{10}
{6} \pi \)
\(\frac{5}
{3}\pi \)
9000033910
Level:
A
Convert the angle \(292.5^{\circ }\)
to radians.
\(\frac{13}
{8} \pi \)
\(\frac{11}
{4} \pi \)
\(\frac{15}
{8} \pi \)
\(\frac{13}
{4} \pi \)
9000033908
Level:
A
Convert \(\frac{8}
{3}\pi \)
radians to degrees.
\(480^{\circ }\)
\(240^{\circ }\)
\(300^{\circ }\)
\(330^{\circ }\)
9000033907
Level:
A
Convert \(\frac{6}
{5}\pi \)
radians to degrees.
\(216^{\circ }\)
\(432^{\circ }\)
\(116^{\circ }\)
\(378^{\circ }\)
9000033905
Level:
A
In the interval \([0^{\circ };360^{\circ })\) find the angle
equivalent to the angle \(- 428^{\circ }\).
\(292^{\circ }\)
\(192^{\circ }\)
\(68^{\circ }\)
\(168^{\circ }\)