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13-апталық бақылау

Total questions: 22

Worksheet time: 30mins

Name
Class
Date
1.

sin⁡15°cos⁡7°−cos⁡11°cos⁡79°=\sin15\degree\cos7\degree-\cos11\degree\cos79\degree=

a)

12cos⁡18°\frac{1}{2}\cos18\degree

b)

cos⁡16°\cos16\degree

c)

12sin⁡8°\frac{1}{2}\sin8\degree

d)

tg8°tg8\degree

2.

Математикадан қанша балл аласың?

a)

бұйырғаны

b)

20+

c)

30+ болса шүкір

d)

45+ смелоо

3.

QM-мен бірге грантқа түсеміз бе?

a)

конечноо

b)

грант керек емес

c)

может быть

d)

бұйырғанын көрерміз

4.

sin⁡2 a−11+cos⁡a+cos⁡a=\frac{\sin^{2\ }a-1}{1+\cos a}+\cos a=

a)

2

b)

1

c)

0

d)

-1

5.

2cos⁡80°+cos⁡40°sin⁡40°=\frac{2\cos80\degree+\cos40\degree}{\sin40\degree}=

a)

3\sqrt[]{3}

b)

1

c)

33\frac{\sqrt[]{3}}{3}

d)

-1

6.

sin⁡(a+β)−cos⁡asin⁡βsin⁡(a−β)+cos⁡asin⁡β=\frac{\sin\left(a+\beta\right)-\cos a\sin\beta}{\sin\left(a-\beta\right)+\cos a\sin\beta}=

a)

-

b)

1

c)

-1

d)

0

7.

sin⁡15°sin⁡5°−sin⁡75°cos⁡5°=\frac{\sin15\degree}{\sin5\degree}-\frac{\sin75\degree}{\cos5\degree}=

a)

-2

b)

2

c)

1

d)

-1

8.

sin⁡a−2sin⁡2a+sin⁡3acos⁡a−2cos⁡2a+cos⁡3a=\frac{\sin a-2\sin2a+\sin3a}{\cos a-2\cos2a+\cos3a}=

a)

-cos2a

b)

tg2a

c)

ctg2a

d)

-sin3a

9.

(1−sin⁡a)(1+sin⁡a)cos⁡a=\frac{\left(1-\sin a\right)\left(1+\sin a\right)}{\cos a}=

a)

tga

b)

ctga

c)

sina

d)

cosa

10.

1−2sin⁡2a+cos⁡2a=1-2\sin^2a+\cos2a=

a)

2cos2a

b)

2sina

c)

2cosa

d)

cos2a

11.

sin⁡2a−(sin⁡a+cos⁡a)2=\sin2a-\left(\sin a+\cos a\right)^2=

a)

2

b)

-1

c)

1

d)

0

12.

cos⁡(30°+a)−cos⁡(30°−a)=\cos\left(30\degree+a\right)-\cos\left(30\degree-a\right)=

a)

sina

b)

cosa

c)

-sina

d)

-cosa

13.

2sin⁡30°−3sin⁡60°ctg⁡45°tg30°=2\sin30\degree-\sqrt[]{3}\sin60\degree\operatorname{ctg}45\degree tg30\degree=

a)

2−32\frac{2-\sqrt[]{3}}{2}

b)

1−32\frac{1-\sqrt[]{3}}{2}

c)

−32-\frac{\sqrt[]{3}}{2}

d)

2−22\frac{2-\sqrt[]{2}}{2}

14.

4cos⁡2x+cos⁡2x=4\cos^2x+\cos2x=

a)

2−sin⁡(2x)2-\sin\left(2x\right)

b)

2+3cos⁡(2x)2+3\cos\left(2x\right)

c)

1+2cos⁡(x)1+2\cos\left(x\right)

d)

2+sin⁡(x)2+\sin\left(x\right)

15.

2cos⁡80°+cos⁡40°sin⁡40°=\frac{2\cos80\degree+\cos40\degree}{\sin40\degree}=

a)

3\sqrt[]{3}

b)

1

c)

33\frac{\sqrt[]{3}}{3}

d)

-1

16.

cos⁡(5a)−cos⁡(6a)sin⁡(5a)+sin⁡(6a)=\frac{\cos\left(5a\right)-\cos\left(6a\right)}{\sin\left(5a\right)+\sin\left(6a\right)}=

a)

ctg⁡(2a)\operatorname{ctg}\left(2a\right)

b)

tg(a2)tg\left(\frac{a}{2}\right)

c)

ctg⁡(a)\operatorname{ctg}\left(a\right)

d)

tg(2a)tg\left(2a\right)

17.

sin⁡(3π4−a)−sin⁡(3π4+a)=\sin\left(\frac{3\pi}{4}-a\right)-\sin\left(\frac{3\pi}{4}+a\right)=

a)

22cos⁡a\frac{\sqrt[]{2}}{2}\cos a

b)

2sin⁡a\sqrt[]{2}\sin a

c)

23cos⁡a\frac{\sqrt[]{2}}{3}\cos a

d)

3sin⁡a\sqrt[]{3}\sin a

18.

sin⁡(180°)−cos⁡(120°)=\sin\left(180\degree\right)-\cos\left(120\degree\right)=

(a)  

19.

cos⁡(5π4)−cos⁡(3π4)=\cos\left(\frac{5\pi}{4}\right)-\cos\left(\frac{3\pi}{4}\right)=

(a)  

20.

cos⁡(68°)sin⁡(38°)−sin⁡(68°)cos⁡(38°)=\cos\left(68\degree\right)\sin\left(38\degree\right)-\sin\left(68\degree\right)\cos\left(38\degree\right)=

(a)  

21.

sin⁡(8a)cos⁡(10a)−sin⁡(10a)cos⁡(8a)=\sin\left(8a\right)\cos\left(10a\right)-\sin\left(10a\right)\cos\left(8a\right)=

(a)  

22.

cos⁡(75°)=\cos\left(75\degree\right)=

a)

6−24\frac{\sqrt[]{6}-\sqrt[]{2}}{4}

b)

6+32\frac{\sqrt[]{6}+\sqrt[]{3}}{2}

c)

3−26\frac{\sqrt[]{3}-\sqrt[]{2}}{6}

d)

8+34\frac{\sqrt[]{8}+\sqrt[]{3}}{4}