?БТ стандартты емес есептер жина?ы

Стандартты емес есептер жинаCы

ТеSсіздіктерді шешіSдер:

1. 13 EMBED Equation.3 1415 < 0
Шешуі:
Jасиетін Kолданып: log0,35 < 0
осыдан x-2>0 екені белгілі
x>2
Жауабы: (2;13 EMBED Equation.3 1415)


2.есеп: /x – 1/+/2-x/ > 3+x
Шешуі:
х = 1; х=2








1) –(x-1) + (2-x) > 3+x; (-13 EMBED Equation.3 1415; 1)
-3x> 3- 1- 2
x<0 Жауабы: (-13 EMBED Equation.3 1415; 0)
2) х -1+2-х > 3+x; (1;2)
х< -2 Жауабы: Ш13 EMBED Equation.3 1415
3) х-1+х-2 > 3 + х; (2; 13 EMBED Equation.3 1415)
Жауабы: (6; 13 EMBED Equation.3 1415)
Жауабы: (-13 EMBED Equation.3 1415; 0)13 EMBED Equation.3 1415(6; 13 EMBED Equation.3 1415)















ТеSдеуді шешіSдер:

1. 26+24+22+...+х =126

Шешуі:

АрифметикалыK прогрессияныS Kосындысы:

13 EMBED Equation.3 1415
13 EMBED Equation.3 1415
13 EMBED Equation.3 1415
13 EMBED Equation.3 1415
13 EMBED Equation.3 1415
13 EMBED Equation.3 1415

Жауабы: 16; -14


ТеSдеуді шешіSдер:


sin (13 EMBED Equation.3 1415tgx) = cos (13 EMBED Equation.3 1415tgx)
Шешуі:
13 EMBED Equation.3 1415

tg (13 EMBED Equation.3 1415tgx) = 1
13 EMBED Equation.3 1415tgx = 13 EMBED Equation.3 1415
tgx=13 EMBED Equation.3 1415
x= arctg 13 EMBED Equation.3 1415)




АлCашKы функциясын табыSыз:

f(x)=sin4x;
Шешуі:
f(x)=sin4x= (sin2x)2=(13 EMBED Equation.3 1415)2=13 EMBED Equation.3 1415-13 EMBED Equation.3 1415cos2x+13 EMBED Equation.3 1415cos22x=13 EMBED Equation.3 1415-13 EMBED Equation.3 1415cos2x+13 EMBED Equation.3 1415(13 EMBED Equation.3 1415)=13 EMBED Equation.3 1415-13 EMBED Equation.3 1415cos2x+13 EMBED Equation.3 1415cos4x;
F(x) =13 EMBED Equation.3 1415x-13 EMBED Equation.3 1415sin2x+13 EMBED Equation.3 1415sin4x+C


Есепте:
13 EMBED Equation.3 1415(log13 EMBED Equation.3 14152+log13 EMBED Equation.3 14152)13 EMBED Equation.3 1415
Шешуі: log13 EMBED Equation.3 14152= -1; log13 EMBED Equation.3 14152=-13 EMBED Equation.3 1415log13 EMBED Equation.3 14152
(313 EMBED Equation.3 1415)-1= (13 EMBED Equation.3 1415*313 EMBED Equation.3 1415)-1=3(13 EMBED Equation.3 1415)-1=313 EMBED Equation.3 1415.
Жауабы: 313 EMBED Equation.3 1415


Есепте13 EMBED Equation.3 1415


log5 log4 log3 81
Шешуі:
Log3 81 = 4
Log4 4 = 1
Log5 1=0
Жауабы: 0















ТеSдеуді шешіSдер:
Logx 8 * log0.5 13 EMBED Equation.3 1415 = log9 13 EMBED Equation.3 141513 EMBED Equation.3 1415
Шешуі:
Log9 13 EMBED Equation.3 1415 = log32 3-3 = - 13 EMBED Equation.3 1415
Log0.5 13 EMBED E
·quation.3 1415= 13 EMBED Equation.3 1415 = 13 EMBED Equation.3 1415 = 1 - 13 EMBED Equation.3 1415;
3 logx 2 * 13 EMBED Equation.3 1415 = -13 EMBED Equation.3 1415
Logx 2 – 1 - 13 EMBED Equation.3 1415 = 0
Logx 2 = 0.5
X= 4 Жауабы: 4


ТеSдеуді шешіSдер:

13 EMBED Equation.3 1415= 13 EMBED Equation.3 141513 EMBED Equation.3 1415
Шешуі:

13 EMBED Equation.3 1415 13 EMBED Equation.3 1415
13 EMBED Equation.3 1415 13 EMBED Equation.3 1415
13 EMBED Equation.3 1415
13 EMBED Equation.3 1415
13 EMBED Equation.3 1415
13 EMBED Equation.3 1415 н\е 13 EMBED Equation.3 141513 EMBED Equation.3 1415
13 EMBED Equation.3 1415 13 EMBED Equation.3 1415
13 EMBED Equation.3 1415 13 EMBED Equation.3 1415









Есепте
Sin180 Sin540
Шешуі:
Sin180sin(900-360)=Sin180cos360=13 EMBED Equation.3 1415=13 EMBED Equation.3 141513 EMBED Equation.3 1415=13 EMBED Equation.3 141513 EMBED Equation.3 1415=13 EMBED Equation.3 141513 EMBED Equation.3 1415=13 EMBED Equation.3 141513 EMBED Equation.3 1415=13 EMBED Equation.3 1415

Жауабы: 13 EMBED Equation.3 1415



ЕсептеSдер:

Sin(2arccos13 EMBED Equation.3 1415)
Шешуі:
sin(2arccos13 EMBED Equation.3 1415)=2 sin(arccos13 EMBED Equation.3 1415)· sin(arcsin13 EMBED Equation.3 1415)=2
·13 EMBED Equation.3 1415
·13 EMBED Equation.3 1415=13 EMBED Equation.3 1415=13 EMBED Equation.3 1415=0,96


2) 13 EMBED Equation.3 1415+13 EMBED Equation.3 1415

Шешуі:
13 EMBED Equation.3 1415+13 EMBED Equation.3 1415=13 EMBED Equation.3 1415І +13 EMBED Equation.3 1415=5-13 EMBED Equation.3 1415+13 EMBED Equation.3 1415=5













ЫKшамдаSдар:
3Sin
·cos3
·+9sin
·cos
·-sin3
·cos3
·-3sin3
·cos
·

Шешуі:
3(sin
·cos3
·-sin3
·cos
·)+4,5sin2
·- 13 EMBED Equation.3 1415sin6
·=-3sin2
·+4,5sin2
·- 13 EMBED Equation.3 1415sin6
·=1,5sin2
·- -13 EMBED Equation.3 1415(3sin2
·-4in32
·)=2sin32
·

JолданылCан формула:
Sin3
·=3sin
·-4sin3
·




Осы функциялардыS туындысын табыSдар:

1) f(x)=ln 13 EMBED Equation.3 1415
Шешуі;
f(x)=13 EMBED Equation.3 1415* 13 EMBED Equation.3 1415*cosx=13 EMBED Equation.3 1415=13 EMBED Equation.3 1415ctgx

2) ЫKшамда;

Шешуі;
1-2cos
·cos
·+cos2
· cos2
·-sin2
· sin2
·=cos2
· +sin2
· + cos2
· cos2
·-sin2
·sin2
·-2cos
·cos
·=sin2
·(1-sin2
·)+cos2
·+ cos2
· cos2
·-2cos
·cos
·=cos2
·(sin2
·+cos2
·)+cos2
·-2cos
·cos
·= cos2
·-2cos
·cos
·+cos2
·= (cos
·- cos
·)2 13 EMBED Equation.3 1415=|cos
·-cos
·|



























`БТ стандартты емес есептер жинаCы
















13 EMBED Equation.3 1415
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