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[DOC File]January 2005 - 6664 Core C2 - Question paper
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5 cos2 x = 3(1 + sin x), giving your answers to 1 decimal place where appropriate. (5) 5. f(x) = x3 – 2x2 + ax + b, where a and b are constants. When f(x) is divided by (x – 2), the remainder is 1. When f(x) is divided by (x + 1), the remainder is 28. (a) Find the value of a and the value of b. (6) (b) Show that (x – 3) is a factor of f(x ...
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[DOC File]CHAPTER 10 : TRIGONOMETRIC FUNCTIONS, IDENTITIES & …
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a) sin2 ( - sin ( - 2 = 0 b) 4 sec2 ( - 3 tan ( = 5 c) 3 cos 2x – 2 cos x + 1 = 0 d) cos ( + sin ( = 1 [a) n( + (-1)n + 1 b) 1800n – 140 or 1800n + 450 c) 3600n ( 39.90 or 3600 ( 115.70 d) 2n( + or 2n( - , all n ( Z]
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Amplitude and Period for Sine and Cosine Functions Worksheet
Determine the amplitude, period, phase shift, and vertical shift for each. 1.y = 2 sin 3x2.y = sin (x − π) 3.y = 3 cos 4x4.y = 3 sin 6x − 3
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[DOC File]C3 Trigonometry
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sin x + (3 cos x = 2 sin 2x. (3) (c) Deduce from parts (a) and (b) that sec x + (3 cosec x = 4 can be written in the form sin 2x – sin (x + 60() = 0. (1) 3. (i) (a) Express (12 cos ( – 5 sin in the form R cos (( + (), where R > 0 and 0 < ( < 90(. (4) (b) Hence solve the equation. 12 cos ( – 5 sin ( = 4, ...
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[DOC File]TRIGONOMETRY
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WELCOME TO TRIGONOMETRY, ENJOY YOUR STAY (1) Assignment # 1 ( Complete the circle diagram (2) Assignment # 2 ( Sine & Cosine functions chart (3) Assignment # 3 ( …
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Algebra II/ Trig Honors Graphing Trig Functions Review ...
1. y = 3 sin (2x) 2. y = -4 cos 3. y = 5 sin . 4. y = 7 cos - 1 5. y = 4 tan 6. y = -2 cot . Write an equation of the given trigonometric functions having the specified characteristics # Function Amplitude Period Phase Shift Vertical. Shift 7. Cosine 0.6 4( None None 8. Sine 5 …
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[DOC File]Paper Reference(s)
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Common incorrect answers were 3(x + sin 2x)2 ( 2 cos 2x, 3(x + sin 2x)2 ( 1 + 2 cos 2x or 3(x + sin 2x)2 ( (1 + cos 2x) ( 2. Candidates’ responses in Q4(ii) showed many concise and clear solutions. A majority expressed in terms of y, although many did not know, or use the formula sheet, to state that the differential of cot y is –cosec 2y.
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[DOCX File]Solve each trigonometric equation for x where
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Solve each trigonometric equation or inequality for x where . 0≤x
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[DOC File]Ex
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5. 6. Ex. Differentiate f (x) = sin(x + sin 2x) f ′(x) = cos(x + sin 2x)∙ (x + sin 2x)′ = cos(x + sin 2x)∙(1 + 2 cos 2x) = (1 + 2 cos 2x) cos(x + sin 2x) Ex. Given values of f , g, f ′, and g′ : x f(x) g(x) f ′(x) g′(x) 1 3 2 4 6 2 1 8 5 7 3 7 2 7 9 (a) If h(x) = f (g(x)), find h′(1). ...
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[DOC File]Volume of Revolution Worksheet
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1) f(x) = 2x + 1, y = 0, 1 < x < 4 (367.566) 2) f(x) = sin x, y = 0, 1 < x < ( (4.935) 3) f(x) = tan x, y = 0, 1 < x < (/4 (0.674) 4) f(x) = (1/4)x2, g(x) = x (26.808) 5) f(x) = sin x, g(x) = cos x, 0 < x < (/4 (1.571) For problems 6 through 8, find the volume of the solid obtained …
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Sin 2x 1 x 3