2cos 2x 5 cos x 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]INDIKATOR 17, 18
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Menyelesaikan himpunan penyelesaian persamaan trigonometri. Himpunan penyelesaian dari persamaan : sin (3x – 15)0 = untuk adalah …. a. {20(, 140(}
[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]A Level Mathematics Questionbanks
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5. a) Obtain the solution to: 2cosx cos60 = 2sinx sin60 + 1 0o (x(360o [6] b) Hence or otherwise, obtain the solution to: i) 2cosxcos60 = 2sinxsin60 + 1 0o (x(360o [2] ii) 2cos(x 30)cos60 = 2sin(x 30)sin60 + 1 0o (x(360o [2] 6. Without using a calculator, find the value of: a) sin50ocos10o + sin10ocos50o [2] b) cos75ocos15o sin75osin15o [2]
[DOC File]KAJI LATIH – 1
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cos x. cot x. sec x. Jika maka . 2p. sin4 x = … Pada segitiga siku-siku ABC diketahui maka . 0,15 0,23 0,35 0,46 0,5 Nilai dari sin 50o. cos 20o. sin 10o = … ((cos 160o + cos 80o + cos 40o = … 0 1 – 1 (= tan A. cot A ( tan A. cot A. tan A. Jika A, B, dan C adalah sudut-sudut pada segitiga maka . 2sin A.sin C (2sin A.sin C. 2 cos A.cos C ...
[DOC File]Paper Reference(s)
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(5) June 2010 6. (a) Express 3 sin x + 2 cos x in the form R sin (x + α) where R > 0 and 0 < α < . (4) (b) Hence find the greatest value of (3 sin x + 2 cos x)4. (2) (c) Solve, for 0 < x < 2π, the equation 3 sin x + 2 cos x = 1, giving your answers to 3 decimal places. (5) June 2007. 7. (a) Express 4 …
[DOC File]5 - Pagar Alam dot Com
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Nilai x yang memenuhi cos x + sin x =, untuk 0 ( x ( 2( adalah … a. dan d. dan . b. dan e. dan . c. dan Untuk 0 ( x ( 360, himpunan penyelesaian dari sin xº –cos xº – = 0 adalah … a. {120º, 180º} d. {0º,300º} b. {90º, 210º} e. {0º,300º,360º} c. {30º, 270º} Jika a sin xº + b cos xº = sin(30 + x)º untuk setiap x…
[DOC File]Ex
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Ex. Trigonometric functions with angle nx (sin 5x)′ = (cos 5x)(5x)′ = (cos 5x)∙5 = 5 cos(5x) (csc 4x)′ = (−csc 4x cot 4x)(4x)′ = −4 csc(4x) cot(4x)
[DOC File]A Level Mathematics Questionbanks
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[5] 12. a) 2cos(x 45) = 2(cosx cos45 + sinx sin45) M1 = 2 ( cosx + sinx) A1 (2 = (2(cosx + sinx) A1 [3] b) i) cos(x 45)=1 M1. cos(x 45) = x 45 = (45 A1. x= 0, 90 M1 A1 [4] ii) 4 [ (2cos(x 45)]4 = 1 M1
[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 + .
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