2cos 2x 4 cos x 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.
[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]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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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]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.
[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 + .
[DOC File]C3 Trigonometry
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(4) (b) Hence solve the equation. 12 cos ( – 5 sin ( = 4, for 0 < ( < 90(, giving your answer to 1 decimal place. (3) (ii) Solve. 8 cot ( – 3 tan ( = 2, for 0 < ( < 90(, giving your answer to 1 decimal place. (5) 4. (i) Given that sin x = , use an appropriate double angle formula to find the exact value of sec 2x. (4) (ii) Prove that . cot ...
[DOC File]MTH101 2nd Quiz - Ning
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x^2 Cos(3x^2). x Cos(3x^2). x Cos(3x). none Which of the following is the integral of Sin(3x+5) with respect to x ? -1/3[-Cos(3x+5)] 1/3[-Cos(3x+5)] 1/15[-Cos(3x+5)] -Cos(3x+5) If ‘n’ goes from 1 to 3 and the summation of ‘na’ = 6a, then the value of ‘a’ is ---------- 6 -6 1 undetermined
[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.
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