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c.) F'(x) = In (tanx). sec² (lnx). - tan(lnx). tanx sec²x. X. [en (tanx)]². VX-1 d.) F'(x) = 0 lenx e.) F'(x) = e соех. +) F'(x) = cos. Q.26 Find the root of the equation tan x + tanh x = 0 correct to three significant figures, using an iterative formula. Given that the root lies between 2 ... ... = 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[ ... The tangent function is a mathematical function with equation y = tan(x). ... At x = 0, tangent = 0. This is the origin and the center of the graph. As x ... So we get vertical asymptotes at x = π/2 and at x = 3π/2 in the graph of tangent function. Let us plot the x-axis with the angles from 0 to 2π with ... This is the same as x < tan x. (b) Show that x/ sin x is a strictly increasing function on (0, π/2). Solution: If ... TAN to 90 degrees (PI/2 Radians) is 1/0, which is undefined, so you can't graph a result that's not there. You can get as close as you want to 90 degrees, ... ... x for which sin x tan x = 4, 0 ≤ x < 360°. (Total 8 marks). 9. (a) Solve, for 0 ≤ x < 360°, the equation cos (x − 20°) = −0.437, giving your answers to the. Problem: Find the sum of the roots of $\tan^2x-9\tan x+1=0$ that are between $x=0$ and $x=2\pi$ radians. (d) Does the line tangent to the graph of h at x = 4 lie above or below the graph of h for. 4 x ? Why? (a) ( ) 0. h xa at. 2 x o. Local minima at. 2 x and at. 2.
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