9000032013
Level:
A
Evaluate
\(\mathop{\mathrm{tg}}\nolimits \left ( \frac{\pi }{6}\right )\).
\(\frac{\sqrt{3}}
{3} \)
\(0\)
\(-\sqrt{3}\)
\(-\frac{\sqrt{3}}
{3} \)
\(\frac{\sqrt{2}}
{2} \)
\(-\frac{\sqrt{2}}
{2} \)
Sine, cosine, tangent and cotangent
9000033801
Level:
B
Which of the numbers in the list is a period (not necessarily the smallest period) of the
function \(m\colon y =\cos x\)?
\(4\pi \)
\(\pi \)
\(5\pi \)
\(3\pi \)
9000032014
Level:
A
Evaluate
\(\mathop{\mathrm{cotg}}\nolimits \left ( \frac{\pi }{6}\right )\).
\(\sqrt{3}\)
\(-\frac{1}
{2}\)
\(-\frac{\sqrt{3}}
{2} \)
\(0\)
undefined
\(-\sqrt{3}\)
9000033802
Level:
B
Which of the numbers in the list is a period (not necessarily the smallest period) of the
function \(n\colon y =\mathop{\mathrm{tg}}\nolimits x\)?
\(3\pi \)
\(\frac{\pi }{2}\)
\(- \frac{\pi } {2}\)
\(\frac{3\pi }
{2}\)
9000032101
Level:
A
Evaluate
\(\sin \left ( \frac{\pi }{2}\right )\).
\(1\)
\(-\frac{\sqrt{2}}
{2} \)
\(-\sqrt{3}\)
\(\sqrt{3}\)
\(\frac{\sqrt{2}}
{2} \)
\(\frac{\sqrt{3}}
{3} \)
9000033804
Level:
B
In the following list identify a true statement for the function
\(g\colon y =\sin x\),
\(x\in [ - 2\pi ;-\pi ] \).
The function \(g\)
is neither increasing nor decreasing.
The function \(g\)
is increasing.
The function \(g\)
is decreasing.
9000004807
Level:
B
In the following list identify a bounded function.
\(y =\sin x\)
\(y =\mathop{\mathrm{tg}}\nolimits x\)
\(y =\mathop{\mathrm{cotg}}\nolimits x\)
\(y = -\mathop{\mathrm{tg}}\nolimits x\)
9000004801
Level:
B
In the following list identify an even function.
\(y =\cos x\)
\(y =\sin x\)
\(y =\mathop{\mathrm{tg}}\nolimits x\)
\(y =\mathop{\mathrm{cotg}}\nolimits x\)