2cos 2x 4 cos x 0 4
[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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Alt (i) Squaring to form quadratic in sin x or cos x M1 [13 cos2x – 4cosx – 8 = 0, 13 sin2x – 6sinx – 3 = 0] Correct values for cos x = 0.953.... –0.646; or sinx = 0.767, 2.27 awrt A1 For any one value of cos x or sin x, correct method for two values of x M1 x = 2.273 or x = 5.976 (awrt) Both seen anywhere A1 Checking other values (0 ...
[DOC File]Remainder & Factor Theorems
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7 (b) y = 3sin x ( 1, 0 ( x ( 2( (c) y = 3 + 2cos 2x, 0 ( x ( 2(The range is 1 ( y ( 5. The range is (4 ( y ( 2. 9 y = sin 2x, and y = cos 3x, 0( ( x ( 360(From the sketch, for sin 2x = cos 3x, there are 6 solutions. 11 (i) For y = p cos ax, a = 3 and p = 2. For y = q sin x + b, q = 4.
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 None Up 2 9. Cosine 15 4…
[DOC File]Trigonometry Review
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a) cos2 b) 2sin2x + sin x – 1 = 0 c) 10cos2(2x) + 7cos(2x) = 6. d) 4cos2(2x) – 1 = 0 e) 3tan2x = 1 f) 2tan2x + tan x – 3 = 0. g) 6cos2x – sin x – 4 = 0 h) 2cos x = 1 – sin2 x i) 2sin2 x = -cos x + 1. 9. a) Convert 330( to radians b) Convert radians to degrees. 10.Use compound angles to determine the exact value for. a) sin b) cos . 11.
[DOC File]CHAPTER 10 : TRIGONOMETRIC FUNCTIONS, IDENTITIES & …
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Prove that sin x cos x – sin2 x - can be expressed as cos (2x - ) – 1. With the help of the curve of y = cos 2x, sketch, for values of x such that 0 ( x ( (, the graph of y = sin x cos x – sin2 x + .
[DOCX File]Higher Mathematics – Vectors
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Hence state the maximum value of 4+12sin x +5 cos x and determine the value of x , in the interval 0≤x
[DOC File]Mark Scheme - June 2002 - Edexcel
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Question Number Scheme Marks 1. sin 5x + sin x ( 2 cos 2x sin 3x use of one M1 cos 5 x + cos x ( 2 cos 2x cos 3x both correct A1 Equation becomes: 0 = 2 cos 2x (sin 3x – cos 3x) i.e. cos 2 x = 0 M1 tan 3x = 1 M1 cos 2x = 0 ( 2x = , , ...
[DOC File]2) Discutere la seguente equazione rispetto ai limiti indicati
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b)4 cos2x- 2m cos x+1=0 30°
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