Free Printable 3-ай 2-апта

1.

sinx=a

a)

x = (- 1)^n arcsin a + пn,n€Z

b)

x = (- 1)^n+2arcsin a + пn,n€ Z

c)

x = (- 1)^n arcsin a + 2пn,n€Z

d)

x = (- 1)^narcsin a -пn,n€ Z

2.

tg x =a

a)

x = arctga+ $\pi$ k,k $\in$ Z.

b)

x = arctga+2 $\pi$ k,k $\in$ Z.

c)

x = $\pm$ arctga+

2 $\pi$ k,k $\in$ Z.

d)

x = arctga- $\pi$ k,k $\in$ Z.

3.

tgx = -1

a)

$-\frac{\pi}{4}+2\pi\kappa,\kappa\in z$

b)

$-\frac{\pi}{4}+\pi\kappa,\kappa\in z$

c)

$\frac{\pi}{4}+\pi\kappa,\kappa\in z$

d)

$\frac{\pi}{4}+2\pi\kappa,\kappa\in z$

4.

sin x =1

a)

x== $\pm$ 2 $\pi$ к,

к $\in$ Z

b)

x= $\pm$ $\pi$ к,

к $\in$ Z

c)

x= 2 $\pi$ к,

к $\in$ Z

d)

x= 2 $\pi$ к,

к $\in$ Z

5.

cosx=a

a)

x = (- 1)^n arccos a + $\pi$ n,n $\in$ Z

b)

x = $\pm$ arccos a + $\pi$ n,n $\in$ Z

c)

x = $\pm$ arccos a + 2 $\pi$ n,n $\in$ Z

d)

x = $\pm$ arccos a - $\pi$ n,n $\in$ Z

6.

cos x =1

a)

x = $\pm$ arccos a + $\pi$ n,n∈ Z

b)

x = $\frac{\pi}{2}$ + $\pi$ n,n∈ Z

c)

x = arccos a +

2 $\pi$ n,n∈ Z

d)

x = $\frac{\pi}{2}$ +

2 $\pi$ n,n∈ Z

7.

sinx = 0

a)

x= $\pi$ k, κ $\in$ Z

b)

x=2 $\pi$ k, κ $\in$ Z

c)

x= $\pm$ $\pi$ k, κ $\in$ Z

d)

x=2 $\pi$ k, κ $\in$ Z

8.

sin x = - 1

a)

x = arcsina + 2 $\pi$ n. n k∈ Z

b)

x= $-$ $\frac{\pi}{2}$ + 2 $\pi$ к,

k∈ Z

c)

x= $-$ $\frac{\pi}{2}$ + $\pi$ к,

k∈ Z

d)

x= $\frac{\pi}{2}$ + 2 $\pi$ к,

k∈ Z

9.

ctgx = a

a)

x = $\pm$ arcctga + $\pi$ n, n $\in$ Z

b)

x = arcctga + 2nn, n $\in$ Z

c)

x = $\pm$ arcctga + 2nn, n $\in$ Z

d)

x = arcctga + nn, n $\in$ Z

10.

tg x = 1

a)

arcctgx+ πκ, κ $\in$ z

b)

2πκ, κ $\in$

z

c)

$\frac{\pi}{4}$ + 2πκ, κ $\in$ z

d)

$\frac{\pi}{4}$ + πκ, κ $\in$ z

11.

cos x = - 1

a)

x = $\pi$ + 2 $\pi$ k, K $\in$ Z

b)

x = $\pi$ - 2 $\pi$ k, K $\in$ Z

c)

x = $\pm$ $\pi$ + 2 $\pi$ k, K $\in$ Z

d)

x = $\pi$ + $\pi$ k, K $\in$ Z

12.

sin x = $-$ $\frac{1}{2}$

a)

x = (- 1)^n $\frac{\pi}{3}$ + пn,n€Z

b)

x = (- 1)^n-1 $\frac{\pi}{6}$ + пn,n€Z

c)

x = (- 1)^n+1 $\frac{\pi}{3}$ + пn,n€Z

d)

x = (- 1)^n+1 $\frac{\pi}{6}$ + пn,n€Z

13.

Данёка апа

a)

лучшая

b)

красотка

c)

топ топ топ

d)

барлық жауап дұрыс

14.

tg x $=\frac{\sqrt[]{3}}{3}$

a)

$\frac{\pi}{6}+2\pi\kappa$

+ k, K $\in$ Z

b)

$\frac{\pi}{3}+\pi\kappa$ , K $\in$ Z

c)

$\frac{\pi}{6}+\pi\kappa$ , K $\in$ Z

d)

$\frac{\pi}{3}+2\pi\kappa$ , K $\in$ Z

15.

cos x = 0

a)

x $=\pm$ 2 $\frac{\pi}{2}$ к,

к $\in$ Z

b)

x $=\pm$ 2 $\pi$ к,

к $\in$ Z

c)

x= $\frac{\pi}{2}$ + $\pi$ к,

к $\in$ Z

d)

x= $\frac{\pi}{2}$ +2 $\pi$ к,

к $\in$ Z

16.

tgx = 0

a)

x $=\pi\kappa,\kappa\in z$

b)

x= $\pm\pi$ к, $\kappa\in$ Z

c)

x $=2\pi\kappa,\kappa\in z$

d)

x $\pm2\pi\kappa,\kappa\in z$

17.

ctg x =a

a)

$\frac{\pi}{4}$ + $\pi\kappa,\kappa\in z$

b)

$\frac{\pi}{4}$ +2 $\pi\kappa,\kappa\in z$

c)

$\frac{\pi}{4}$ -2 $\pi\kappa,\kappa\in z$

d)

$\frac{\pi}{4}$ - $\pi\kappa,\kappa\in z$

18.

ctgx = 0

a)

$\frac{\pi}{2}+2\pi\kappa,\kappa\in z$

b)

$\frac{\pi}{4}+2\pi\kappa,\kappa\in z$

c)

$\frac{\pi}{2}+\pi\kappa,\kappa\in z$

d)

$\pi\kappa,\kappa\in z$

19.

ctgx = -1

a)

$\frac{\pi}{4}+\pi\kappa,\kappa\in z$

b)

$\frac{\pi}{4}+2\pi\kappa,\kappa\in z$

c)

$-\frac{\pi}{4}+\pi\kappa,\kappa\in z$

d)

$-\frac{\pi}{4}+2\pi\kappa,\kappa\in z$

20.

sin x = $\frac{\sqrt[]{2}}{2}$

a)

x =пn,n€Z

b)

x = (- 1)^n-1 $\frac{\pi}{4}$ + пn,n€Z

c)

x = (- 1)^n+1 $\frac{\pi}{4}$ + пn,n€Z

d)

x = (- 1)^n $\frac{\pi}{4}$ + пn,n€Z

21.

ctgx= $\frac{\sqrt[]{3}}{3}$

a)

$=\frac{\pi}{6}+\pi\kappa,\kappa\in z$

b)

$\frac{\pi}{3}+\pi\kappa,\kappa\in z$

c)

$=\frac{\pi}{3}+2\pi\kappa,\kappa\in z$

d)

$=\frac{\pi}{6}+2\pi\kappa,\kappa\in z$

3-ай 2-апта

Total questions: 21

Worksheet time: 11mins

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