Základní goniometrické nerovnice I

Project ID: 
7100020182
Accepted: 
Typ: 
Layout: 
Question: 
Ke každé nerovnici vyberte množinu jejího řešení z intervalu $\langle 0,2\pi \rangle$.
Question 1: 
$\sin x \geq 0$
Answer 1: 
$\langle 0,\pi \rangle$
Question 2: 
$\sin^2 x \geq 0$
Answer 2: 
$\langle 0,2\pi \rangle$
Question 3: 
$\sin x \leq -1$
Answer 3: 
$\left\{\frac{3\pi}{2} \right\}$
Question 4: 
$\sin x \geq 1$
Answer 4: 
$\left\{\frac{\pi}{2} \right\}$
Question 5: 
$\sin^2 x \geq 1$
Answer 5: 
$\left\{\frac{\pi}{2},\frac{3\pi}{2} \right\}$
Question 6: 
$\cos x \leq 0$
Answer 6: 
$\langle \frac{\pi}{2}, \frac{3\pi}{2}\rangle$
Question 7: 
$\cos^2 x \geq 1$
Answer 7: 
$\{0, \pi, 2\pi\}$
Question 8: 
$\cos x \leq -1$
Answer 8: 
$\{\pi\}$
Question 9: 
$\cos^2 x \leq -1$
Answer 9: 
$\emptyset$