1 sin4x sin2x cos2x cos4x
[DOC File]Ekstrēmu uzdevumu risināšanas metodes - LU
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y=sinx(cos3x(sin3x(cosx=sinx(cosx(cos2x(sin2x)=sin2x(cos2x=sin4x. Tā kā vērtību apgabals ir (1 ( sin4x ( 1, tad dotās funkcijas lielākā vērtība ir . 5. Piemērs. Noteikt funkcijas mazāko vērtību. 1. paņēmiens. Apzīmējam sin2x=a; aplūkojam apgriezto funkciju .
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დ) sin18000=1 ე) sin4x+cos4x=1-sin22x დ) sin(2700+x)=cosx
Part 1
Part 1 1.The current I in the given network. a) 1A b) 3A c) 5A d) 7A 2.For the Delta- Wye transformation in given figure, the value of the resistance R is. a) 1/3 ohms b) 2/3 ohms c) 3/2 ohms d) 3 ohms 3.In the given network, the Thevenin’s equivalent as seen by the load resistance Rl is a) V=10 V, R= 2ohms b) V=10V, R=3 ohms c) V=15V, R ...
[DOC File]Основні способи розв'язування тригонометричних рівнянь
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1) (1 – cos6x)cos2x = sin23x; 2) 1 + cos4x = sin3x – sinx. 513. Знайти найбільший від'ємний та найменший додатний корені рівняння: 1) cos2x – cos2x = 2 – sinx; 2) 1 – cos4x = sin3x + sinx. 514.
[DOC File]A Level Mathematics Questionbanks
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x = (35.3, 144.7, 215.3 A3 (-1 eeoo) [5] 9. a) cos4x sin4x ( (cos2x sin2x)(cos2x + sin2x) M1. But sin2x + cos2x = 1 B1. So cos4x sin4x ( cos2x sin2x A1 [3] b) (cos2 : 5 + 2tan2 = 4sec2 M1 A1. 1 + tan2 ( sec2 5 + 2tan2 = 4(1 + tan2 ) M1. tan2 = A1 ...
[DOC File]A Level Mathematics Questionbanks
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a) Prove that for all values of x: cos4x sin4x (cos2x sin2x [3] b) Given that 5cos2 + 2sin2 = 4, show that tan2 = [5] 10. Given that sin = and , find, as fractions. a) cos [3] b) tan [2] c) sin( + ) [2] 11. The diagram below shows a semicircle with centre O. The two shaded regions are equal.
[DOC File]Giaùo trình Giaûi tích 12 - Trang 1 - Soaïn cho lôùp LTÑH
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19) Cho caùc haøm soá f(x) = sin4x + cos4x; g(x) = Chöùng minh raèng : f ’(x) = g’(x), (x(R. 20) Tìm vi phaân cuûa moãi haøm soá sau taïi ñieåm ñaõ chæ ra: a) f(x) = ln (sinx) taïi x0 = . b) f(x) = x. cosx taïi x0 = 21) Tìm vi phaân cuûa moãi haøm soá: a) f(x) = b) f(x) = x.lnx. c) f(x) = .
[DOC File]Розв'язування найпростіших тригонометричних рівнянь
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1) sinx cos2x + cosx sin2x = 0; 2) cosx cos3x – sin3x sinx = ; 3) ; 4) 2sinx cosx = ; 5) cos2x – sin2x = 1; 6) sin2x cos2x = - . 481. Розв'язати рівняння: 1) sinx cos5x – sin5x cosx = ; 2) cos4x cosx + sin4x sinx = 1; 3) ; 4) sin2 – cos2 = 0. 482. Для кожної з функцій y = 2cos та y = 2sin знайти ...
[DOC File]Unit x: Day x: Title
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Example 2: (1 – cos2x)(csc x) = sin x. 4.8.1 Proving Trigonometric Identities (Teacher Notes continued) Example 3: (1 + sec x)/ (tan x + sin x) = csc x. Example 4: 2cos x cos y = cos(x + y) + cos(x – y) 4.8.2 The Trickledown Puzzle. You goal is to change the top word into the bottom word in the space allowed.
[DOC File]www.thuvienhoclieu.com
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1. x2 – (m – 2)x + 8m + 1 > 0 2.(m -2 )x2 + 2x – 4 > 4. 3. (m – 1)x2 + 2(m +1)x + 3m – 6 > 0 4. (m + 3)x2 + 2(m +1)x + 1> 0. Bài 11: Tìm để bất phương trình vô nghiệm. 1. x2 – 2(m – 2)x + m – 2 0 2. (m – 2)x2 – 2(m – 2)x + 1 0
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