Ứng dụng của tích phân của hàm tan x trong các bài toán tính diện tích và thể tích

x) and its small-angle approximation near x = 0 x=0 x=0. Contents ... sec ⁡ x ≈ 1 , tan ⁡ x ≈ x ⟹ sec ⁡ x tan ⁡ x ≈ x . □ \sec x \approx 1 ... tan(-x) = -tan(x). Double angle formulas sin(2x) = 2 sinxcosx cos(2x) = (cosx) ... tan(x) = tan(x) tan(-x) = -tan(x) tan(x + π. 2. ) = -cot(x) tan(x - π. 2. ) ... tan-1 (tan2 x) , 2 sin2 x. They discovered this on a graph plotting calculator. The graphs appear below. Notice that they cross at x = 0, 7/4, I/2, 37r/4 ... Oct 26, 2023 ... Let f(x) = tan x. Note that f 3 continuous on. [2022, 2023] and ... (<) Suppose f'(x) = 0 for all x < (a,b). For any α, Я €(a,b) with x ... The period of the tan(x) tan ( x ) function is π π so values will repeat every π π radians in both directions. x= ... Jun 23, 2012 ... Find an interval centered about x = 0 for which the given initial-value problem has a unique solution? Help is much appreciated! ... = Series[Cos[x],{x,0,7}]. In[14] := cosx = Series[Cos[x],{x,0,7}]. Out[14] = 1− x2. 2. + x4. 24. − x6. 720. +O[x]8. In[15] := tanx = Series[Tan[x],{x,0,7}]. In[ ... ... x^6 exp(x), y(1) = 0. See the steps for using Laplace transforms to solve ... y''(x) + tan(x) y'(x) + sec(x)^2 y(x)==0 · x^4*y*y'' + x^4*y'*y' + 3*x^3*y*y ... tan x − (3x2 − 5x).(tan x)′. (tan x)2. = (6x − 5). tan x − (3x2 ... (c) f is not differentialble at x = 0,x = 4 . Page 4. Page 5. 9. x2y = 13, 500 ... -x4 < x4 cos (==) = X", X+0 0 lim. X-0. -X. 4 lim. X-0. X. 2. 10. Therefore lim xco ... (tan x) (2x+ex) + (x² + e * ) (sec² x). (x² + sinx) (ex + sinx) - (ex ...