3 cos2x sin2x sin x 2 0
[DOC File]Analiza I: 3. kolokvij - plonkec
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0 30 45 60 90 sin 0 ½ √2/2 √3/2 1 cos 1 √3/2 √2/2 ½ 0 tg 0 √3/3 1 √3 ( sin (a + b) = sin a cos b + cos a sin b. cos (a + b) = cos a cos b + sin a sin b
[DOC File]Calculus I - Henderson State University
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1.) f(x) = 2x3 + 3x2 - 12x + 1, [0, 2] 2.) f(x) = cos2x - sin x, [0, 2π] Find exact values. 3.) Use the first derivative test to find local extrema for : f(x) = (x - 1)/(x2 + 1) 4.) On what intervals is f(x) = x3 - 2x + 6 strictly increasing? strictly decreasing? 5.) Use the second derivative test to find local extrema for: 6.) Let f(x…
[DOC File]ADVANCED ALGEBRA AND TRIGONOMETRY EXAM
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A. 1 B. sin2x – cos2x C. cos2x – sin2x D. 1 - tan2x E. 1 - cot2x Simplify the given expression sin 43( cos 37 – cos 43( sin 37( MA3A5 A. sin 6( B. cos 6( C. sin 80( D. cos 80( E.
[DOC File]Formulas - Math 115
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sin2x + cos2x = 1 tan2x + 1 = sec2x ctn2x + 1 = csc2x. sin(x+y) = sinx cosy + cosx siny cos(x+y) = cosx cosy - sinx siny. sin 2x = 2 sinx cosx cos 2x = cos2x - sin2x. sinx siny = cosx cosy = sinx cosy = sin2x = cos2x = y = is that angle y such that x = and
[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
[DOC File]Pure Math 30
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a. (tan x)(sec x) b. cos2x – sin2x. c. tan A sin A d. 2cos x sec x – tan x cot x. Simplify the following. [7 marks] sin (90( + A) cos (B – 90() cos 150( cos 20( – sin 150( sin 20(Find the exact value of the following. [4 marks] sin ((/12) cos (15() cos (11(/12) Given and is in Quadrant II, evaluate sin ( + ) using exact values. [3 marks]
[DOC File]Topic name Homework Sheet 123 Name
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sin2x = 1 ( cos2x. cos2x = 1 ( sin2x 3 If sin = 0.7, and 0o < < 90o, find, correct to three decimal places: 4 Find all possible values of sin x if cos x = 0.25. sin2x = 1 ( cos2x = 1 ( (0.25)2 = 1 (0.0625 = 0.9375. sin x = (x = 0.968 or (0.968. 3 Find the exact value of sin x if cos x = and x is in the fourth quadrant. Third side of triangle =
[DOC File]A Level Mathematics Questionbanks
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[3] b) cos2x ( 1 sin2x M1. sin2x sin x 1=0 M1 A1. sin x = M1. sinx = -1.618.. or 0.618.. A1 cao-1.618… gives no solutions. x = 0.666 or 2.48 A2 [7] 6. a) i) cos2x ( 1 sin2x B1. 3sin x + 2cos2x ( 3s + 2(1 s2) M1
[DOC File]A Level Mathematics Questionbanks
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a) 2sinx cosx = sinx B1. sinx (2cosx 1) = 0 M1 A1. sinx = 0 or cosx = x = 0, 180, 60, 300 A3 (-1 eeoo)
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