1 sin2x cos2x cosx sinx 2
[DOC File]1
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Hence the solution is y = e3x ( A Cos2x + B Sin2x) 2. Solve (D2 – 2D + 1) y = ex. A.E is m2 – 2m + 1 =0 (m – 1)2 = 0 => m = 1,1 . C.F => (A + Bx) ex. P.I = Solution is y = C.F + P.I = (A + Bx) ex + 3. Find the particular integral of ( D2 + 5D + 6) y = 11 e5x P.I = Put D = 5 hence P.I = 4 Solve (D – 1) 2 y = sinh2x. A.E is (m – 1)2 = 0 ...
[DOC File]A Level Mathematics Questionbanks
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a) 2sinx cosx = sinx B1. sinx (2cosx 1) = 0 M1 A1. sinx = 0 or cosx = x = 0, 180, 60, 300 A3 (-1 eeoo) [6] b) From (a), have 2x = 0, 180, 60, 300 M1. x = 0, 90, 30, 150 A2 ft [3] 2. a) cos2x + sin2x ( 1 …
[DOC File]A Level Mathematics Questionbanks
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maximum when cos 2x = -1; minimum when cos2x=1 maximum at x=90; minimum at x = 180 A1 (both) [3] 15 a) 2(1 sin2x) + sinx = 1 M1. 2sin2x sinx 1 = 0 A1. sinx = - or 1 A1 ft. x = 210, 330, 90 A2 (-1eeoo) [5]
[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]Основні способи розв'язування тригонометричних рівнянь
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1) sin6x + sin2x = 0; 2) cos2x + sin2x = cosx + 2. 512. Знайти найменший додатний корінь рівняння: 1) (1 – cos6x)cos2x = sin23x; 2) 1 + cos4x = sin3x – sinx. 513. Знайти найбільший від'ємний та найменший додатний корені рівняння:
[DOC File]İZMİR FEN LİSESİ LİSE 1 MATEMATİK
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f(x)= a.sinx +b.cosx fonksiyonunun max. ve min. değerlerini bulunuz. (C:,- ) 22. f(x)=-4sin(x)+6cosx olduğuna göre f(x) ‘in alabileceği en küçük ve en büyük değerlerini bulunuz.
[DOC File]Formulas - Math 115
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sin2x + cos2x = 1 tan2x + 1 = sec2x ctn2x + 1 = csc2x. sin(x+y) = sinx cosy + cosx siny cos(x+y) = cosx cosy - sinx siny. sin 2x = 2 sinx cosx cos 2x = cos2x - sin2x. sinx siny = cosx cosy = sinx cosy = sin2x = cos2x = Derivatives. Linear approximation (3 ways of writing the same thing)
[DOC File]Formulas - Math 115
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sin2x + cos2x = 1 tan2x + 1 = sec2x ctn2x + 1 = csc2x. sin(x+y) = sinx cosy + cosx siny cos(x+y) = cosx cosy - sinx siny. sin 2x = 2 sinx cosx cos 2x = cos2x - sin2x. sinx siny = cosx cosy = sinx cosy = sin2x = cos2x = y = is that angle y such that x = and . sin-1(- x) = - sin-1 x cos-1(- x) = ( - cos-1x cos-1x = - …
[DOCX File]Уроци по Математика
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sin5x+sinx sin5x-sinx = 2 -tg2x ⇔ 2sin3xcos2x 2sin2xcos3x =- cos2x sin2x , откъдето tg3x=-1 и x=- π 13 + π 3 .n, n∈Z. От дефиниционната област на даденото уравнение имаме x ≠πq, q∈Z,
[DOC File]FORMULE - Weebly
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FORMULE TRIGONOMETRICE. Formula fundamentala: Formule provenite din formula fundamentala: Funcţii trigonometrice: Paritatea si imparitatea functiilor trigonometrice:
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