Free Printable Тригонометрия ашық сабақ

1.

Негізгі тригонометриялық тепе-теңдік

a)

$\sin^2\alpha+\cos^2\alpha=1$

b)

$\cos^2\alpha-\sin^2\alpha=1$

c)

$\sin^2\alpha=\frac{1-\cos2\alpha}{2}$

d)

$\cos^2\alpha=\frac{1+\cos2\alpha}{2}$

2.

$tg\alpha=?$

a)

$\frac{\cos\alpha}{\sin\alpha}$

b)

$tg\alpha\cdot\operatorname{ctg}\alpha$

c)

$\frac{\sin\alpha}{\cos\alpha}$

d)

$\frac{1}{\cos^2\alpha}$

3.

Негізгі тригонометриялық тепе-теңдік

a)

$\sin^2\alpha+\cos^2\alpha=1$

b)

$\cos^2\alpha-\sin^2\alpha=1$

c)

$\sin^2\alpha=\frac{1-\cos2\alpha}{2}$

d)

$\cos^2\alpha=\frac{1+\cos2\alpha}{2}$

4.

$tg\alpha=?$

a)

$\frac{\cos\alpha}{\sin\alpha}$

b)

$tg\alpha\cdot\operatorname{ctg}\alpha$

c)

$\frac{\sin\alpha}{\cos\alpha}$

d)

$\frac{1}{\cos^2\alpha}$

5.

$\operatorname{ctg}\alpha=?$

a)

$\frac{\cos\alpha}{\sin\alpha}$

b)

$tg\alpha\cdot\operatorname{ctg}\alpha$

c)

$\frac{\sin\alpha}{\cos\alpha}$

d)

$\frac{1}{\cos^2\alpha}$

6.

$1+tg^2\alpha=?$

a)

$\frac{\cos\alpha}{\sin\alpha}$

b)

$\frac{1}{\sin^2\alpha}$

c)

$\frac{\sin\alpha}{\cos\alpha}$

d)

$\frac{1}{\cos^2\alpha}$

7.

Дұрыс қосу формулаларын таңдаңыз

a)

$\sin\left(\alpha+\beta\right)=\sin\alpha\cos\beta+\cos\alpha\sin\beta$

b)

$\sin\left(\alpha-\beta\right)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

c)

$\sin\left(\alpha+\beta\right)=\sin\alpha\sin\beta+\cos\alpha\cos\beta$

d)

$\sin\left(\alpha-\beta\right)=\cos\alpha\sin\beta-\sin\alpha\cos\beta$

8.

Дұрыс қосу формулаларын таңдаңыз

a)

$\cos\left(\alpha+\beta\right)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

b)

$\cos\left(\alpha-\beta\right)=\cos\alpha\cos\beta+\sin\alpha\sin\beta$

c)

$\cos\left(\alpha+\beta\right)=\sin\alpha\sin\beta-\cos\alpha\cos\beta$

d)

$\cos\left(\alpha+\beta\right)=\cos\alpha\cos\beta-\sin\alpha\sin\beta$

9.

$tg\left(\alpha+\beta\right)=?$

a)

$\frac{tg\alpha-tg\beta}{1+tg\alpha\cdot tg\beta}$

b)

$\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta-1}{\operatorname{ctg}\alpha+\operatorname{ctg}\beta}$

c)

$\frac{tg\alpha+tg\beta}{1-tg\alpha\cdot tg\beta}$

d)

$\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta+1}{\operatorname{ctg}\beta-\operatorname{ctg}\alpha}$

10.

$tg\left(\alpha-\beta\right)=?$

a)

$\frac{tg\alpha-tg\beta}{1+tg\alpha\cdot tg\beta}$

b)

$\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta-1}{\operatorname{ctg}\alpha+\operatorname{ctg}\beta}$

c)

$\frac{tg\alpha+tg\beta}{1-tg\alpha\cdot tg\beta}$

d)

$\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta+1}{\operatorname{ctg}\beta-\operatorname{ctg}\alpha}$

11.

$\operatorname{ctg}\left(\alpha-\beta\right)=?$

a)

$\frac{tg\alpha-tg\beta}{1+tg\alpha\cdot tg\beta}$

b)

$\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta-1}{\operatorname{ctg}\alpha+\operatorname{ctg}\beta}$

c)

$\frac{tg\alpha+tg\beta}{1-tg\alpha\cdot tg\beta}$

d)

$\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta+1}{\operatorname{ctg}\beta-\operatorname{ctg}\alpha}$

12.

$\operatorname{ctg}\left(\alpha+\beta\right)=?$

a)

$\frac{tg\alpha-tg\beta}{1+tg\alpha\cdot tg\beta}$

b)

$\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta-1}{\operatorname{ctg}\alpha+\operatorname{ctg}\beta}$

c)

$\frac{tg\alpha+tg\beta}{1-tg\alpha\cdot tg\beta}$

d)

$\frac{\operatorname{ctg}\alpha\cdot\operatorname{ctg}\beta+1}{\operatorname{ctg}\beta-\operatorname{ctg}\alpha}$

13.

$2\sin\alpha\cos\alpha=?$

a)

$\sin2\alpha$

b)

$\cos2\alpha$

c)

$\tan2\alpha$

d)

$\cot2\alpha$

14.

$\sin(\frac{\pi}{2}-\alpha)=?$

a)

$\cos\alpha$

b)

$\sin\alpha$

c)

$\tan\alpha$

d)

$\cot\alpha$

15.

$\cos^2\alpha-\sin^2\alpha=?$

a)

$1$

b)

$-1$

c)

$0$

d)

$2$

Тригонометрия ашық сабақ

Total questions: 15

Worksheet time: 9mins

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