Free Printable Тригонометрические формулы. Часть 1

1.

основное тригонометрическое тождество

a)

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

b)

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

c)

$1+\operatorname{ctg}^2\alpha=\frac{1}{\sin^2\alpha}$

d)

$tg\alpha\operatorname{ctg}\alpha=1$

2.

продолжите формулу $1+tg^2\alpha=$

a)

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

b)

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

c)

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

d)

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

3.

продолжите формулу $1+\operatorname{ctg}^2\alpha=$

a)

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

b)

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

c)

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

d)

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

4.

продолжите формулу $tg\alpha\operatorname{ctg}\alpha=$

a)

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

b)

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

c)

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

d)

1

5.

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

a)

$\cos\alpha\cos\beta-\sin\alpha\sin\beta$

b)

$\cos\alpha\cos\beta+\sin\alpha\sin\beta$

c)

$\sin\alpha\cos+\cos\alpha\sin\beta$

d)

$\sin\alpha\cos\beta-\cos\alpha\sin\beta$

6.

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

a)

$\cos\alpha\cos\beta-\sin\alpha\sin\beta$

b)

$\cos\alpha\cos\beta+\sin\alpha\sin\beta$

c)

$\sin\alpha\cos+\cos\alpha\sin\beta$

d)

$\sin\alpha\cos\beta-\cos\alpha\sin\beta$

7.

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

a)

$\cos\alpha\cos\beta-\sin\alpha\sin\beta$

b)

$\cos\alpha\cos\beta+\sin\alpha\sin\beta$

c)

$\sin\alpha\cos+\cos\alpha\sin\beta$

d)

$\sin\alpha\cos\beta-\cos\alpha\sin\beta$

8.

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

a)

$\cos\alpha\cos\beta-\sin\alpha\sin\beta$

b)

$\cos\alpha\cos\beta+\sin\alpha\sin\beta$

c)

$\sin\alpha\cos+\cos\alpha\sin\beta$

d)

$\sin\alpha\cos\beta-\cos\alpha\sin\beta$

9.

$\cos\left(\frac{\pi}{2}-\alpha\right)=$

a)

-sina

b)

-cosa

c)

cosa

d)

sina

10.

$tg\left(\frac{\pi}{2}-\alpha\right)=$

a)

-tga

b)

-ctga

c)

ctga

d)

tga

11.

$\operatorname{ctg}\left(\frac{\pi}{2}+\alpha\right)=$

a)

-tga

b)

-ctga

c)

ctga

d)

tga

12.

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

a)

-sina

b)

-cosa

c)

cosa

d)

sina

13.

$\sin\left(\pi+\alpha\right)=$

a)

-sina

b)

-cosa

c)

cosa

d)

sina

14.

$\sin\left(\frac{3\pi}{2}+\alpha\right)=$

a)

-sina

b)

-cosa

c)

cosa

d)

sina

15.

$\cos\left(\frac{3\pi}{2}+\alpha\right)=$

a)

-sina

b)

-cosa

c)

cosa

d)

sina

16.

$\sin\left(\frac{3\pi}{2}+\alpha\right)=$

a)

-sina

b)

-cosa

c)

cosa

d)

sina

17.

$\cos\left(\pi+\alpha\right)=$

a)

-sina

b)

-cosa

c)

cosa

d)

sina

18.

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

a)

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

b)

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

c)

$1+\operatorname{ctg}^2\alpha$

d)

$1+tg^2\alpha$

19.

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

a)

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

b)

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

c)

$1+\operatorname{ctg}^2\alpha$

d)

$1+tg^2\alpha$

Тригонометрические формулы. Часть 1

Total questions: 19

Worksheet time: 4mins

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