: , ,
:
1. , , , . : N, Z, Q, R, C. () : N ⊂ Z ⊂ Q ⊂ R ⊂ C.
Q 䳿 , , ( ).
2. , , , . ³ () .
1 % = 0,01; 10 % = 0,1; 100 % = 1.
| p a | a ⋅ 0,01 p | |
| , p b b | b: (0,01 p) | |
| ³ | (a: b) ⋅ 100 % | |
n = 0 (1+  n)
| ||
| n = 0 (1+ )n
|
3. y = f (x) , D , E . D E , y = f (x) .
, 0 :
1. f ( x) = f (x), y = f (x) ;
2. f ( x) = f (x), y = f (x) .
4. n - a , n - a. 䒺 n - a n - a. 
.
. 
= 4, 43 = 64,
, 0,15 = 0,00001.
5. n - .
6. n - :
= 
* 
; 2) 
= 
; 3) 
= 
;
= 
; 5) 
= (
k
7. : 
= 
. r s , :
* 
= 
2) 
: = 
3) (
s = 
4) (ab)r = 
; 5)
8. 
; 
; 
.
: , , .
α > 0 , α < 0 .
(1; 1).
y = x α, α > 0 y = x α, α < 0
9. г , . . .
:
:
1. 1 = 
≈ 5718′.
2. :
sin2 α + cos2 α= 1,
tg α ⋅ ctg α = 1. r
3. :
- 
, 
- 
, tg = (
= ctg 
.
sin (π + α) = sin α, cos (π + α) = cos α, tg (π + α) = tg α.
4. : , , , . , , α .
|
|
|
 ) = 
 )= 
|  = 
 =  - 
|
        )= 
| 
|
7.
y = sin x, D = R, E = [1; 1], ;
y = cos x, D = R, E = [1; 1], , 
y = tg x,, 
y = ctg x, 
, E = R
y = A sin (ω t + 
) .
;
ω ;
ω t + 
;
.
