Free Printable Формулы тригонометрии 6. Вариант 1

1.

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

a)

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

b)

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

c)

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

d)

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

2.

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

a)

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

b)

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

c)

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

d)

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

3.

$\cos2\alpha$

a)

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

b)

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

c)

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

d)

$1-2\cos^2\alpha$

4.

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

a)

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

b)

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

c)

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

d)

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

5.

$\sin\alpha+\sin\beta$

a)

$2\sin\ \frac{\alpha+\beta}{2}\cos\ \frac{\alpha-\beta}{2}$

b)

$2\ \sin\ \frac{\alpha-\beta}{2}\ \cos\ \frac{\alpha+\beta}{2}$

c)

$2\ \sin\ \frac{\alpha+\beta}{2}\ \sin\ \frac{\alpha-\beta}{2}$

d)

$2\ \cos\ \frac{\alpha+\beta}{2}\ \cos\ \frac{\alpha-\beta}{2}$

6.

$\sin^{2\ }\alpha$

a)

$\frac{1-\cos2\alpha}{2}$

b)

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

c)

$\frac{1+\cos2\alpha}{2}$

d)

$\frac{\cos2\alpha-1}{2}$

7.

$1+tg^2\alpha$

a)

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

b)

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

c)

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

d)

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

8.

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

a)

$-2\ \sin\ \frac{\alpha+\beta}{2}\ \sin\ \frac{\alpha-\beta}{2}$

b)

$-2\ \cos\ \frac{\alpha+\beta}{2}\ \cos\ \frac{\alpha-\beta}{2}$

c)

$2\ \sin\ \frac{\alpha+\beta}{2}\ \sin\ \frac{\alpha-\beta}{2}$

d)

$2\ \cos\ \frac{\alpha+\beta}{2}\ \cos\ \frac{\alpha-\beta}{2}$

9.

$\sin\alpha\cdot\sin\beta$

a)

$\frac{1}{2}\cdot\left(\cos\left(\alpha-\beta\right)-\cos\left(\alpha+\beta\right)\right)$

b)

$\frac{1}{2}\cdot\left(\cos\left(\alpha+\beta\right)-\cos\left(\alpha-\beta\right)\right)$

c)

$\frac{1}{2}\cdot\left(\sin\left(\alpha-\beta\right)-\sin\left(\alpha+\beta\right)\right)$

d)

$\frac{1}{2}\cdot\left(\sin\left(\alpha-\beta\right)+\sin\left(\alpha+\beta\right)\right)$

10.

$\cos\left(\pi-\alpha\right)$

a)

$-\cos\alpha$

b)

$\cos\alpha$

c)

$-\sin\alpha$

d)

$\sin\alpha$

11.

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

a)

$-\sin\alpha$

b)

$\sin\alpha$

c)

$-\cos\alpha$

d)

$\cos\alpha$

Формулы тригонометрии 6. Вариант 1

Total questions: 11

Worksheet time: 6mins

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