9000032011
Level:
A
Evaluate
\(\mathop{\mathrm{tg}}\nolimits \left ( \frac{\pi }{3}\right )\).
\(\sqrt{3}\)
\(0\)
\(-\sqrt{3}\)
\(-\frac{\sqrt{3}}
{3} \)
\(-\frac{\sqrt{2}}
{2} \)
\(\frac{\sqrt{3}}
{3} \)
A
9000032114
Level:
A
Evaluate
\(\cos \left ( \frac{\pi }{6}\right )\).
\(\frac{\sqrt{3}}
{2} \)
\(\frac{\sqrt{2}}
{2} \)
\(-\frac{1}
{2}\)
\(-\frac{\sqrt{3}}
{2} \)
\(0\)
\(-\frac{\sqrt{2}}
{2} \)
9000032013
Level:
A
Evaluate
\(\mathop{\mathrm{tg}}\nolimits \left ( \frac{\pi }{6}\right )\).
\(\frac{\sqrt{3}}
{3} \)
\(0\)
\(-\sqrt{3}\)
\(-\frac{\sqrt{3}}
{3} \)
\(\frac{\sqrt{2}}
{2} \)
\(-\frac{\sqrt{2}}
{2} \)
9000033702
Level:
A
Find the domain of the following expression.
\[
\sqrt{-x^{2 } + 7x - 12} -\frac{1}
{x}
\]
\([ 3;4] \)
\(\mathbb{R}\setminus \left \{0\right \}\)
\(\mathbb{R}\setminus \left \{0;3;4\right \}\)
\(\left (3;4\right )\)
\(\left (-\infty ;3\right )\cup \left (4;\infty \right )\)
\(\left (-\infty ;3] \cup [ 4;\infty \right )\)
9000032014
Level:
A
Evaluate
\(\mathop{\mathrm{cotg}}\nolimits \left ( \frac{\pi }{6}\right )\).
\(\sqrt{3}\)
\(-\frac{1}
{2}\)
\(-\frac{\sqrt{3}}
{2} \)
\(0\)
undefined
\(-\sqrt{3}\)
9000032012
Level:
A
Evaluate
\(\mathop{\mathrm{cotg}}\nolimits \left ( \frac{\pi }{3}\right )\).
\(\frac{\sqrt{3}}
{3} \)
\(-\frac{1}
{2}\)
\(\frac{\sqrt{2}}
{2} \)
\(-\sqrt{3}\)
\(-\frac{\sqrt{3}}
{3} \)
\(-\frac{\sqrt{2}}
{2} \)
9000032101
Level:
A
Evaluate
\(\sin \left ( \frac{\pi }{2}\right )\).
\(1\)
\(-\frac{\sqrt{2}}
{2} \)
\(-\sqrt{3}\)
\(\sqrt{3}\)
\(\frac{\sqrt{2}}
{2} \)
\(\frac{\sqrt{3}}
{3} \)
9000033303
Level:
A
Find the solution set of the following equation.
\[
\frac{4x + 8}
{x + 2} = 0
\]
\(\emptyset \)
\(\{- 2\}\)
\(\{2\}\)
\(\left \{-\frac{3}
{4}\right \}\)
9000032102
Level:
A
Evaluate
\(\sin \left (0\right )\).
\(0\)
\(\frac{\sqrt{2}}
{2} \)
\(-\sqrt{3}\)
\(- 1\)
\(\sqrt{3}\)
\(-\frac{\sqrt{3}}
{3} \)
9000033301
Level:
A
Find the solution set of the following equation.
\[
\frac{3x + 6}
{2 - x} = 0
\]
\(\{ - 2\}\)
\(\emptyset \)
\(\{2\}\)
\(\mathbb{R}\setminus \{2\}\)