1003076602
Level:
B
How many \( x \)-intercepts has the graph of the function \( f(x)=\sin 3x \) on the interval \( [-\pi; 3\pi] \)?
\( 13 \)
\( 10 \)
\( 14 \)
\( 8 \)
Sine, cosine, tangent and cotangent
1003076603
Level:
B
How many points of intersection has the graph of the function \( f(x)=- 2\sin2x \) with the \( x \)-axis on the interval \( [-2\pi; 2\pi] \)?
\( 9 \)
\( 8 \)
\( 10 \)
\( 11 \)
1003076604
Level:
B
The graph of the function \( f(x)=-\sin (-x) \) is identical with the graph of the function:
\( g(x)=\cos\left(x -\frac{\pi}2 \right) \)
\( g(x)=-\cos\left(x -\frac{\pi}2 \right) \)
\( g(x)=\cos\left(x +\frac{\pi}2 \right) \)
\( g(x)=-\sin x \)
1003076605
Level:
B
The graph of the function \( f(x)=\cos (-x) \) is identical with the graph of the function:
\( g(x) = \cos x \)
\( g(x) = \sin x \)
\( g(x) = -\cos x \)
\( g(x)=-\sin x \)
1003076606
Level:
B
The graph of the function \( g(x) = \cos x \) is identical with the graph of the function:
\( g(x) = \cos(-x) \)
\( g(x) = \sin(- x ) \)
\( g(x) = -\cos x \)
\( g(x)= -\sin x \)
1003076607
Level:
B
If we reflect the graph of the function \( f(x) = \cos x \) over the \( x \)-axis, we get the graph of the function:
\( g(x) = -\cos x \)
\( g(x) =\sin x \)
\( g(x) =\cos x \)
\( g(x) = -\sin x \)
1003076706
Level:
B
How many values of the angle \( \alpha\in\left(0^{\circ}; 90^{\circ}\right)\cup\left(90^{\circ}; 180^{\circ}\right) \) satisfy the equation \( \mathrm{tg}\,\alpha = \mathrm{cotg}\,\alpha \)?
\( 2 \)
\( 1 \)
\( 0 \)
\( 4 \)
1003076707
Level:
B
How many values of the angle \( \alpha \in\left[0^{\circ}; 360^{\circ}\right] \) satisfy the equation
\( \sin \alpha = \cos\alpha \)?
\( 2 \)
\( 1 \)
\( 0 \)
\( 3 \)
1103076609
Level:
B
Identify the function shown in the graph.
\( f(x)=-\sin\left(x + \frac{\pi}4 \right) \)
\( f(x)=-\sin\left(x -\frac{3\pi}4 \right) \)
\( f(x)=\cos\left(x + \frac{\pi}4\right) \)
\( f(x)=\sin\left(x - \frac{\pi}4\right) \)
1103076612
Level:
B
Identify the function shown in the graph.
\( f(x)=-\cos 2x \)
\( f(x)=\cos(-2x) \)
\( f(x)=-\sin 2x \)
\( f(x)=\sin(-2x) \)