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Trigonometriya — test savollari javoblari bilan

Matematika · 13 ta ochiq savol (bankda jami 65 ta) · har birida to'g'ri javob va izoh
Shu mavzudan test ishlash Matematika — barcha mavzular
1. Xaritaning masshtabi $1 : 250000$. Xaritadagi $3.5$ sm haqiqatda necha km?
  1. A) $7.5$ km
  2. B) $8.75$ km
  3. C) $10$ km
  4. D) $12.5$ km
Javobni ko'rish

To'g'ri javob: B) $8.75$ km

2. $a$, $b$, $c$ — proporsiyaning uzluksiz a'zolari: $\frac{a}{b} = \frac{b}{c}$. Agar $a = 4$, $c = 16$ bo'lsa, $b$ ni toping.
  1. A) $6$
  2. B) $8$
  3. C) $10$
  4. D) $12$
Javobni ko'rish

To'g'ri javob: B) $8$

3. $2\sin x - \sqrt{3} = 0$ tenglamaning $[0; 2\pi]$ oraliqdagi ildizlari yig'indisini toping.
  1. A) $\pi$
  2. B) $2\pi$
  3. C) $\frac{\pi}{3}$
  4. D) $\frac{2\pi}{3}$
Javobni ko'rish

To'g'ri javob: B) $2\pi$

4. $\sqrt{3} \tan x - 1 = 0$ tenglamaning umumiy yechimi qaysi?
  1. A) $x = \frac{\pi}{3} + \pi n$
  2. B) $x = \frac{\pi}{6} + \pi n$
  3. C) $x = \frac{\pi}{4} + \pi n$
  4. D) $x = \frac{\pi}{6} + 2\pi n$
Javobni ko'rish

To'g'ri javob: B) $x = \frac{\pi}{6} + \pi n$

5. $\cos x = \sin x$ tenglamaning umumiy yechimini toping.
  1. A) $x = \frac{\pi}{4} + 2\pi n$
  2. B) $x = \frac{\pi}{4} + \pi n$
  3. C) $x = \frac{\pi}{2} + \pi n$
  4. D) $x = -\frac{\pi}{4} + \pi n$
Javobni ko'rish

To'g'ri javob: D) $x = -\frac{\pi}{4} + \pi n$

6. $2\cos^2 x - \cos x = 0$ tenglamaning $[0; 2\pi)$ oraliqdagi ildizlari yig'indisini toping.
  1. A) $2\pi$
  2. B) $3\pi$
  3. C) $4\pi$
  4. D) $\frac{5\pi}{3}$
Javobni ko'rish

To'g'ri javob: C) $4\pi$

7. $\sin 3x = 0$ tenglamaning $(0; \pi)$ oraliqda nechta ildizi bor?
  1. A) $1$
  2. B) $2$
  3. C) $3$
  4. D) $4$
Javobni ko'rish

To'g'ri javob: B) $2$

8. $4\sin^2 x - 3 = 0$ tenglamaning umumiy yechimi qaysi?
  1. A) $x = \pm \frac{\pi}{3} + \pi n$
  2. B) $x = \pm \frac{\pi}{6} + \pi n$
  3. C) $x = \frac{\pi}{3} + 2\pi n$
  4. D) $x = (-1)^n \frac{\pi}{3} + \pi n$
Javobni ko'rish

To'g'ri javob: A) $x = \pm \frac{\pi}{3} + \pi n$

9. $\cos^2 x - \sin^2 x = \frac{1}{2}$ tenglamaning umumiy yechimini toping.
  1. A) $x = \pm \frac{\pi}{6} + \pi n$
  2. B) $x = \pm \frac{\pi}{3} + \pi n$
  3. C) $x = \frac{\pi}{6} + 2\pi n$
  4. D) $x = \frac{\pi}{3} + 2\pi n$
Javobni ko'rish

To'g'ri javob: A) $x = \pm \frac{\pi}{6} + \pi n$

10. $2\sin^2 x + \sin x - 1 = 0$ tenglamaning $[0; 2\pi)$ oraliqdagi eng kichik ildizini toping.
  1. A) $\frac{\pi}{6}$
  2. B) $\frac{\pi}{3}$
  3. C) $\frac{\pi}{4}$
  4. D) $\frac{5\pi}{6}$
Javobni ko'rish

To'g'ri javob: A) $\frac{\pi}{6}$

Bu — mavzuning ochiq namuna qismi. To'liq bank, vaqt rejimi, tahlil va xatolar ustida ishlash — test rejimida.