ВОДГЕО - Справочник по гидротехнике. Раздел 1 и 2

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MATEMATAKA

47

2. 3anncuMocrb

Mexqy

QyHrqnnMH

AByx

yruIoB

l) sln("

+

F)

:

sinacosP

1

cosasinPl,

2) cos

(o

+

9)

_

cosacos

I

+

sincsin

P;

3) tg('t

P):(tgc

i

t89):

(l

T

tgntgFt);

4) ctg("

+

P)

:

(ctgactgp

+

l)'(ctgF

t

ctge);

5) sin

o

f

sin

9

:2rin

I

(a

f

P)

cos

I

O-

F);

G) sin

a

-

sin

9:2.o,

j

(o

*

F)

rt"

f

(o

-

F);

7) cos

a

f

cos

fl:

2.o,

|

("

-l-

P).o,

f

(*

-

3);

8)

cos

a

-cos

p:

-

zrin],

(*

*

F)

sin

+

("

-

fl);

9)

rgaf

tg13:

sin(atF)

'

cosccosP'

lo)

ctgcrgctgg=

tsin(atP)

'

-

-r-

sinasinB

'

1l) sin

(t

*

F)

sin (a

-

P)

:

sin2a

-

sin2

F

:

coS2

I

-

cosz

a;

12)

cos

("

*

9)

cos

(a

-

9)

:

cos2

a

:

CoS2

I

-

sin:

c;

-sin2F:

I

l3) sinasin

P

:

+cos(a-

P)

Tcos(ef

14) cosacosp

:

+

cos(a-

g)

+

l.o.("

*

P);

22

l5)

sin

a

cos

[i

-

*

.ii,

(o

-i-

p)+

+

sin

(z'

-

P);

2

-

\

2

16) tg

o

tg

I

-

(tga

*

tB

p):

(ctga

l:.tg

i')

:

'

:-

(tb'

'

Tg

P)

:

(atg

a

-

ctg

P);

17)

ctg

a

ctg

p:

(ctg

a

f

ctg

9),

(tg

a

f

tg

p) :

:

-

(ctga

-

ctg

F)'

(tgo

-

tg

P).

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npu

yMHo)KeHHH

H

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ynJIoB

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qI{CJIa

l) sin2a:2

sinacosai

2) sina:2sin

f

.ot

+,

3)

cos

2a

-==

cos2

a

-

sin2

a

:l-2sin2

a

:

2cos2

a

4) sin 3a

:

Ssin

a

-

4sin3

a;

5)

cos 3a:4cosa

c

-

Scos

a;

6) sin

4a:

Bcos3

c

sin

a

-

4cos

a

sin

a;

7)

cos

4s,

:Scos+

a

-

Scos:

o

*

1

;

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d

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b)

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): l/

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P);

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;

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r t

|

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:

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r-

, /

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:

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V

I

-

cosa

^

2tga

2

12) tg

2a:*: '

I-tg:o

ctga-tgc

2tg

a

9

13)tga-

-

i

r

+

tet*'.:

2

ctg2o-t

I

14) ctg

2a:

;**

:

T

ctg

a

-

i

tE

";

ctlzL_

l

2ctg

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16)

sin

a

:

17)

cos

a:

t+tg"

2

a

t

-

tg'T

t+

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l) a:

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+

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:

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t

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2

-F

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(a

-

b)

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F),sin

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*

6)

7)

F);

p).

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a

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sin

a

q:t"

r-

_

sin

a

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i

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ВОДГЕО - Справочник по гидротехнике. Раздел 1 и 2

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