Trường hợp 1 5x = 2x + π/2 + k2π.

-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 – 2 (cos x cos y – sin x sin y) ……(1). Also, P2P4. 2 = [1 – cos (x + y)] 2 + [0 – sin (x + y)]2. = 1 – 2cos (x + y) + cos2 (x + y) + sin2 (x + y). = 2 – 2 ... 3. Find the Taylor series for the function x4 + x 2 centered at a=1. Solution f (x) = x4 ... 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 ... = 2 cos x. Hence, the value of (sin 8x + 7sin 6x + 18 sin 4x + 12 sin 2x)/ (sin 7x+6 sin 5x ... 1. Page 2. Finally, a “trick” one: 3ex df dx. + exf(x) = x3 does have constant coefficients: divide the whole equation by ex. /2cos(x)sin(x)¡2 dx,. 4. R2. 3. (x2 +2x)exp(x)dx. Exercice 7. Soit f :R>0!R une fonction continue et pour tout x2R>0, on a limn!1 f(nx)=. 0. Montrer que limx!+1. each problem, find the derivative of the function at the given value. 1) y = -sec (x) at x = p. 2) y = -2cos (2x) at x = 0 ... cos (2x) - 1. 47) lim x®0 sin ... 1. Solve sin 2θ − cosθ = 41​ for θ and write the values of θ in the interval 0 ≤ θ ≤ 2π. · 2. Find the number of solutions of tanx + secx = 2cosx in [0, 2π]. · 3. 1) sinA = cosB. 2) sinA = tanB. 3) sinB = tanA. 4) sinB = cosB. 3 Right triangle ABC is shown below. Which trigonometric equation is always true for triangle ...