Trigonometric equations and inequalities

2000006304

Level: 
B
An inequality is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding inequality.
\[ \cos{x} > \frac{\sqrt{2}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} > \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} \geq \frac{\sqrt{2}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} \geq \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]

2000006303

Level: 
B
An inequality is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding inequality.
\[ \cos{x} < \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} \leq \frac{\sqrt{2}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} < \frac{\sqrt{2}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \cos{x} \leq \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]

2000006302

Level: 
B
An inequality is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding inequality.
\[ \sin{x} < \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} \leq \frac{\sqrt{2}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} < \frac{\sqrt{2}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} \leq \frac{1}{2} \] \[ x \in [ 0;2\pi ]\]

2000006301

Level: 
B
An inequality is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding inequality.
\[ \sin{x} \geq \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} \geq \frac{\sqrt{2}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} > \frac{\sqrt{3}}{2} \] \[ x \in [ 0;2\pi ]\]
\[ \sin{x} > \frac{\sqrt{2}}{2} \] \[ x \in [ 0;2\pi ]\]

2000006204

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

2000006203

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

2000006202

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

2000006201

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

2000001904

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

2000001903

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