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[DOC File]sb6862009b8fb20f8.jimcontent.com
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№1. Решим уравнение. sin. 2. x = 2 . cos. 2. x. 2sin xcos x - 2cos2x = 0, 2 cosx (sinx - cosx) = 0, 2 cosx = 0, X = + Пn, nZ,
cos2x sin 2x 2cosx 1 0

[DOC File]A Level Mathematics Questionbanks
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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 ( cosA =, cosB = M1 A1. sin(A+B) ( sinA cosB + cosA sinB B1 = M1 A1 ...
2cos2x 1 tgx 1 0

[DOC File]A Level Mathematics Questionbanks
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12. a) Show that 2cos (x 45) = (2(cosx + sinx) [3] b) Hence solve the equations. i) cosx + sinx = 1 0(x
sin2x 2sinx 2cosx 1 0

[DOC File]WordPress.com
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Feb 06, 2009 · 2. Consider 3y2 ( (2cosx)y + 1 ( sinx = 0 - - - - - - (*) as a quadratic equation in y. (a) Show that the discriminant of (*) is 4(cos2x + 3sinx ( 3). (b) Suppose (*) has double roots, find the value of x for 0 < x < 2(. (6 marks) 3. (a) Express sin6x + cos6x in terms of cos4x .
2cos 2x sinx 1 0

[DOC File]TÀI LIỆU ÔN THI ĐẠI HỌC
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(2cos2x +cosx – 2 ) + (3 – 2cosx)sinx = 0. e. 2cos2x +2sinxcosx + 1 = 3sinx +3cosx . 3. Phương trình đẳng cấp đối với sinx và cosx : Dạng :asin2x +bsinxcosx+ccos2x = 0 ( a, b , c khác 0 ) Cách giải :cosx = 0 không thỏa phương trình nên chia hai vế cho cos2x.
2 sinx cos2x 1 2cos2x sinx 0

[DOCX File]Mr. Dickson
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sin2x-sinx=0 → 2sinxcosx-sinx=0 → sinx 2cosx-1 =0 . sinx=0 and cosx= 1 2 x=0 , x=π , x= π 3 , and x= 5π 3 . The above examples show various levels of difficulty involved with solving equations. There are quadratic trigonometric equations, trigonometric equations with . b≠1 , and trigonometric equations that involve identities. ...
2sinx 1 3cosx 1 0

[DOC File]Синус, косинус, тангенс, котангенс
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Блок Выражения и преобразования Тема Синус, косинус, тангенс, котангенс 1. Упростите выражение 7cos2( – 5+7sin2(. 1) 1 + cos2(; 2) 2; 3) –12; 4) 12.
cos2x 1 2cos2x sinx 0

[DOC File]Chuyªn ®Ò :ph¬ng tr×nh lîng gi¸c
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1/ cos2x- cos8x+ cos4x=1 2/sinx+2cosx+cos2x-2sinxcosx=0. 3/sin2x-cos2x=3sinx+cosx-2 4/sin3 x+2cosx-2+sin2 x=0. 5/ 3sinx+2cosx=2+3tanx 6/ sin2x+cos2x+cosx=0 . 7/ 2sin2x-cos2x=7sinx+2cosx-4 8/ 9/ 2cos2x-8cosx+7= 10/ cos8x+sin8x=2(cos10x+sin10x)+cos2x
cos2x sqrt 2 sinx 1 0

[DOC File]Solving Quadratic Trigonometric Equations
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1. Factor. 2. Use Quadratic Formula (only works if one side of the equation =0) Example 1: Solve for x Є [0,2π]. (2cosx-1) (2 sinx + √3) = 0. Example 2: Solve for x Є [0,2π]. 3 tan2x = 1. Example 3: Solve for x Є [0,2π]. a) cos 2x – 2cosx = -1 b) 12sin 2x – sinx – 1 = 0. Example 7: Solve for x Є [0,2π] 8sin2x - 8sinx+ 1=0 ...
cos2x sin 2x 2cosx 1 0

Sinx 2 3 2cosx 1 0