9000032112
Level:
A
Evaluate
\(\cos \left ( \frac{\pi }{3}\right )\).
\(\frac{1}
{2}\)
\(\frac{\sqrt{3}}
{2} \)
\(-\frac{\sqrt{3}}
{2} \)
\(\sqrt{3}\)
\(-\frac{\sqrt{2}}
{2} \)
\(\frac{\sqrt{2}}
{2} \)
A
9000032010
Level:
A
Evaluate
\(\mathop{\mathrm{cotg}}\nolimits \left ( \frac{\pi }{4}\right )\).
\(1\)
\(\frac{\sqrt{2}}
{2} \)
\(0\)
\(-\frac{\sqrt{3}}
{3} \)
\(\frac{\sqrt{3}}
{3} \)
undefined
9000032113
Level:
A
Evaluate
\(\sin \left ( \frac{\pi }{6}\right )\).
\(\frac{1}
{2}\)
\(\frac{\sqrt{2}}
{2} \)
\(-\frac{1}
{2}\)
\(\frac{\sqrt{3}}
{2} \)
\(\sqrt{3}\)
\(0\)
9000032011
Level:
A
Evaluate
\(\mathop{\mathrm{tg}}\nolimits \left ( \frac{\pi }{3}\right )\).
\(\sqrt{3}\)
\(0\)
\(-\sqrt{3}\)
\(-\frac{\sqrt{3}}
{3} \)
\(-\frac{\sqrt{2}}
{2} \)
\(\frac{\sqrt{3}}
{3} \)
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
\(\mathop{\mathrm{tg}}\nolimits \left ( \frac{\pi }{6}\right )\).
\(\frac{\sqrt{3}}
{3} \)
\(0\)
\(-\sqrt{3}\)
\(-\frac{\sqrt{3}}
{3} \)
\(\frac{\sqrt{2}}
{2} \)
\(-\frac{\sqrt{2}}
{2} \)
9000032012
Level:
A
Evaluate
\(\mathop{\mathrm{cotg}}\nolimits \left ( \frac{\pi }{3}\right )\).
\(\frac{\sqrt{3}}
{3} \)
\(-\frac{1}
{2}\)
\(\frac{\sqrt{2}}
{2} \)
\(-\sqrt{3}\)
\(-\frac{\sqrt{3}}
{3} \)
\(-\frac{\sqrt{2}}
{2} \)
9000032014
Level:
A
Evaluate
\(\mathop{\mathrm{cotg}}\nolimits \left ( \frac{\pi }{6}\right )\).
\(\sqrt{3}\)
\(-\frac{1}
{2}\)
\(-\frac{\sqrt{3}}
{2} \)
\(0\)
undefined
\(-\sqrt{3}\)
9000033303
Level:
A
Find the solution set of the following equation.
\[
\frac{4x + 8}
{x + 2} = 0
\]
\(\emptyset \)
\(\{- 2\}\)
\(\{2\}\)
\(\left \{-\frac{3}
{4}\right \}\)
9000031205
Level:
A
Find the complex conjugate of \(z = \mathrm{i}^{5} - 3\mathrm{i}^{10}\).
\(3 -\mathrm{i}\)
\(- 3 -\mathrm{i}\)
\(- 3 + \mathrm{i}\)
\(3 + \mathrm{i}\)