.


:




:

































 

 

 

 


x = x =
Z = a + ib Z* = a ib
Z = r (cos j + i sinj) Z* = r(cos j i sinj)
Z = reij Z * = r e-i j
| Z | = r = ZZ* = | Z |2
sin(x+y) = sin x ×cos y+ sin y × cos x sin(xy) = sin x × cos y sin y × cos x
cos (x+y) = cos x × cos y sin x × sin y cos(xy) = cos x × cos y + sin x × sin y
sin2 x = 2sin x × cos y cos2 x = cos2 x sin2 x
sin2 x = ½(1 cos2 x) cos2 x = ½(1 + cos 2 x)
sin ax sin bx = ½ cos(ab) x ½cos(a+b) x sin ax cos bx = ½ sin(a+b)x ½ sin(ab) x

 

 

1.2.

 

, , ,
, , ,
, , ,
, , .

 

 

 

a

0 (360) 30 45 60 90 180
sin a 0 1 0
cos a 1 0 1
tg a 0 1 - 0
ctg a - 1 1 -

 

a × xb = xa+b, a/xb = xab, (xa) b = xa × b.

1.5.

l = 2p R.

S = p R 2.

()

() S = 4p R 2.

½tg ½ ½tg(

 

,

1018
1015
1012
109
106
103
102
101
10-1
10-2
10-3
10-6
10-9
10-12
10-15
10-18

2.2. (SI)

( . .)
opa
,
oeco eeca cce
,
( )

 

 

,
, 1 Å = 10-10
, 2 1 () = 104 2
, 1 = 1000 1 = 100 (. . .) = = 1,66 ×10-27
, t C = (t + 273,15)
, 1 = p/180 ,
, 1 = 105 , 1 . . = 9,81 , 1 . . = 133,3 1 () = 1,01 × 105
, 1 / = 1,163
, 3 1 = 10-3 3 = 1 3
, /3 1 /3 = 1 /3 = 1 /3 = 103 /3
, , , 1 × = 3,6× 106 1 = 4,1868× 103 = 4,19 1 - () = 1.6 × 10-19
, /(×) 1 /(×) = 4,19 /(×)
, 1 = 1 c-1 1 / = 1 1 / = 1/60

 

 



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