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Sep 19, 2015 ... sinx+sin5x=2cos2x ===> 2sin(x+5x/2)cos(x-5x/2)=2cos2x ===> 2sin3xcos(-2x)-2cos2x=0 ===> sin3xcos2x-cos2x=0 ===> cos2x(sin3x-1)=0 ... = 2 cos x. Hence, the value of (sin 8x + 7sin 6x + 18 sin 4x + 12 sin 2x)/ (sin 7x+6 sin 5x ... Let f be the function given by f(x) (x − 2)² (x + ³). For which of the following values of x is f not continuous? (A) -3 and -1 only. (B) -3, -1, and 2. 2 0 1 7. U of S. I N T E G R A T I O N. B E E. Page 2. INTEGRAL #1. READY,. GET SET ... (3 + sin5x)(3 − sin5x)dx. 2 0 1 7. U of S. I N T E G R A T I O N. B E E. 2 ... sin(2x)=2sin(x) cos(x) cos(2x) = cos 2(x) - sin2(x). = 2 cos2(x) 1. = 1 - 2 sin2. -. (x). 2 tan(x) tan(2x) = 1 - tan2(x). HALF-ANGLE IDENTITIES r. ⇣ ⌘ x. 1 cos(. ... sin(5x) . (21.2). Thus, the general solution to our nonhomogeneous equation ... H⇒. 0 − 625[A · 4 · 3 · 2x + B · 3 · 2 · 1] = 300x + 50. H⇒. −15,000Ax ... ... 2(cos2(x)+sin2(x)) ... Popular Examples. prove sec(2x)=(sec^2(x))/(1-tan^2(x))prove (sin(3x)-sin(5x))/(2cos(4x))=-sin(x)prove tan(a)+cot(a)=2csc(2a)prove ... 1 2cos 2 . dr d θ θ. = +. (a) Find the area bounded by the curve and the x ... when 2x y. = The y-coordinate is. ( )3. 2ln . 2. 2 : 1 : sets. 0. 1 : answer dy. -1 - 2 cos(x + π) - 2 cos(2x + 2π) - 2 cos(3x + 3π) + ··· ]. = 1 π[1 + 2 cos ... sin(5x). 5. + ···. = 4 π sin x +. 4. 3π sin(3x) +. 4. 5πsin(5x) + ··· , which ... ... 2 cos( 2 x ) cos( x ) no terms cos(3x) occur anymore. In §14.9 we shall discuss how you can best overrule existing Maple ... 2x. -> 2 tan x. / (1. + tan.