Trigonometriya

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) $x = -\frac{\pi}{4} + \pi n$