Project ID:
7100020183
Accepted:
Typ:
Layout:
Question:
Dopasuj do każdej nierówności zbiór wszystkich jej rozwiązań leżących w przedziale $\langle -\frac{\pi}{2} ,\frac{\pi}{2}\rangle$.
Question 1:
$\mathrm{tg}\, x \geq 0$
Answer 1:
$\left.\langle 0,\frac{\pi}{2} \right)$
Question 2:
$\mathrm{tg}^2\, x >0$
Answer 2:
$\left( -\frac{\pi}{2},0\right) \cup \left( 0,\frac{\pi}{2}\right)$
Question 3:
$\mathrm{tg}\, x >1$
Answer 3:
$\left( \frac{\pi}{4},\frac{\pi}{2}\right) $
Question 4:
$\mathrm{tg}^2\, x >1$
Answer 4:
$\left( -\frac{\pi}{2},-\frac{\pi}{4}\right) \cup \left( \frac{\pi}{4},\frac{\pi}{2}\right)$
Question 5:
$\mathrm{tg}^2\, x \geq 0$
Answer 5:
$\left(- \frac{\pi}{2},\frac{\pi}{2}\right) $
Question 6:
$\mathrm{cotg}\, x \geq 0$
Answer 6:
$\left( 0, \frac{\pi}{2}\rangle \right.$
Question 7:
$\mathrm{cotg}^2\, x \geq 0$
Answer 7:
$\left.\langle -\frac{\pi}{2},0\right) \cup \left( 0,\frac{\pi}{2}\rangle \right.$
Question 8:
$\mathrm{cotg}\, x >1$
Answer 8:
$\left( 0,\frac{\pi}{4}\right) $
Question 9:
$\mathrm{cotg}^2\, x >1$
Answer 9:
$\left( -\frac{\pi}{4},0\right) \cup \left( 0,\frac{\pi}{4}\right)$