Trigonometric equations and inequalities

2000001901

Level: 
A
The picture shows the graphical solution of an equation. Which equation is it?
\[ \cos{x} = -\frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} = -\frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = -\frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} = -\frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]

2000001902

Level: 
A
The picture shows the graphical solution of an equation. Which equation is it?
\[ \cos{x} = -\frac{\sqrt{3}}{2}\] \[ x \in [ 0; 2\pi ] \]
\[ \sin{x} = -\frac{\sqrt{3}}{2}\] \[ x \in [ 0; 2\pi ] \]
\[ \sin{x} = -\frac{1}{2}\] \[ x \in [ 0; 2\pi ] \]
\[ \cos{x} = -\frac{1}{2}\] \[ x \in [ 0; 2\pi ] \]

2000001903

Level: 
A
The picture shows the graphical solution of an equation. Which equation is it?
\[ \sin{x} = -\frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} = -\frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = -\frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = -\frac{1}{2} \] \[ x \in [ 0;2\pi ]\]

2000001904

Level: 
A
The picture shows the graphical solution of an equation. Which equation is it?
\[ \sin{x} = -\frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} = -\frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = -\frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = -\frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]

2000006201

Level: 
A
An equation is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding equation.
\[ \sin{x} = \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} = \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]

2000006202

Level: 
A
An equation is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding equation.
\[ \sin{x} = \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} = \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]

2000006203

Level: 
A
An equation is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding equation.
\[ \cos{x} = \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} = \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} = \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]

2000006204

Level: 
A
An equation is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding equation.
\[ \cos{x} = \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} = \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} = \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} = \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]

2000006401

Level: 
A
An equation is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding equation.
\[ \mathrm{tg}\,{x} = \frac{\sqrt{3}}{3} \] \[ x \in ( -\pi ;\pi)\]
\[ \mathrm{tg}\,{x} = \frac{\sqrt{3}}{2} \] \[ x \in (-\pi ;\pi )\]
\[ \mathrm{cotg}\,{x} = \frac{\sqrt{3}}{2} \] \[ x \in ( -\pi ;\pi)\]
\[ \mathrm{cotg}\,{x} = \frac{\sqrt{3}}{3} \] \[ x \in ( -\pi ;\pi)\]