Trigonometrik tenglamalar — 10-sinf Algebra test savollari

1.sin $x=\frac{1}{2}$ tenglamaning umumiy yechimini toping.

• A)x=(-1)ⁿ$\cdot \frac{\pi }{6}+\pi n,n$$\in$$\mathbb{Z}$
• B)$x=\frac{\pi }{6}+2\pi n,n$$\in$$\mathbb{Z}$
• C)x=±$\frac{\pi }{3}+2\pi n,n$$\in$$\mathbb{Z}$
• D)$x=\frac{\pi }{3}+\pi n,n$$\in$$\mathbb{Z}$

2.cos x=0 tenglamaning umumiy yechimini toping.

• A)$x=\frac{\pi }{2}+\pi n,n$$\in$$\mathbb{Z}$
• B)x=πn, n$\in$$\mathbb{Z}$
• C)$x=\frac{\pi }{4}+\pi n,n$$\in$$\mathbb{Z}$
• D)x=2πn, n$\in$$\mathbb{Z}$

3.tg x=1 tenglamaning umumiy yechimini toping.

• A)$x=\frac{\pi }{4}+\pi n,n$$\in$$\mathbb{Z}$
• B)$x=\frac{\pi }{4}+2\pi n,n$$\in$$\mathbb{Z}$
• C)$x=-\frac{\pi }{4}+\pi n,n$$\in$$\mathbb{Z}$
• D)$x=\frac{\pi }{2}+\pi n,n$$\in$$\mathbb{Z}$

4.2cos²x-1=0 tenglamani yeching (cos2x=2cos²x-1 ayniyatidan foydalanib).

• A)x=±$\frac{\pi }{4}+\pi n,n$$\in$$\mathbb{Z}$
• B)$x=\frac{\pi }{4}+2\pi n,n$$\in$$\mathbb{Z}$
• C)$x=\frac{\pi }{2}+\pi n,n$$\in$$\mathbb{Z}$
• D)x=±$\frac{\pi }{2}+\pi n,n$$\in$$\mathbb{Z}$

5.2sin²x+sinx-1=0 tenglamani yeching (t=sinx almashtirish bilan, $t=\frac{1}{2}$ yoki t=-1).

• A)x=(-1)ⁿ$\frac{\pi }{6}+\pi n$ yoki $x=-\frac{\pi }{2}+2\pi n,n$$\in$$\mathbb{Z}$
• B)$x=\frac{\pi }{6}+2\pi n,n$$\in$$\mathbb{Z}$
• C)$x=\frac{\pi }{2}+2\pi n,n$$\in$$\mathbb{Z}$
• D)yechimi yo'q

6.sin x=0 tenglamaning umumiy yechimini toping.

• A)x=πn, n$\in$$\mathbb{Z}$
• B)$x=\frac{\pi }{2}+\pi n,n$$\in$$\mathbb{Z}$
• C)x=2πn, n$\in$$\mathbb{Z}$
• D)$x=\frac{\pi }{2}+2\pi n,n$$\in$$\mathbb{Z}$

7.cos x=1 tenglamaning umumiy yechimini toping.

• A)x=2πn, n$\in$$\mathbb{Z}$
• B)x=πn, n$\in$$\mathbb{Z}$
• C)$x=\frac{\pi }{2}+2\pi n,n$$\in$$\mathbb{Z}$
• D)x=π+2πn, n$\in$$\mathbb{Z}$

8.cos x=-1 tenglamaning umumiy yechimini toping.

• A)x=π+2πn, n$\in$$\mathbb{Z}$
• B)x=2πn, n$\in$$\mathbb{Z}$
• C)$x=-\frac{\pi }{2}+2\pi n,n$$\in$$\mathbb{Z}$
• D)x=πn, n$\in$$\mathbb{Z}$

9.sin x=1 tenglamaning umumiy yechimini toping.

• A)$x=\frac{\pi }{2}+2\pi n,n$$\in$$\mathbb{Z}$
• B)$x=\frac{\pi }{2}+\pi n,n$$\in$$\mathbb{Z}$
• C)x=2πn, n$\in$$\mathbb{Z}$
• D)$x=-\frac{\pi }{2}+2\pi n,n$$\in$$\mathbb{Z}$

10.tg x=0 tenglamaning umumiy yechimini toping.

• A)x=πn, n$\in$$\mathbb{Z}$
• B)$x=\frac{\pi }{2}+\pi n,n$$\in$$\mathbb{Z}$
• C)x=2πn, n$\in$$\mathbb{Z}$
• D)$x=\frac{\pi }{4}+\pi n,n$$\in$$\mathbb{Z}$