The solid curve below shows the trigonometric function f(x). It has the form f(x
ID: 2303904 • Letter: T
Question
The solid curve below shows the trigonometric function f(x). It has the form f(x)-cos(x) + D. Also shown as dotted curve is the function cos(x). -1 -3L ?7-6-5-4-3-2-1 ? 1 2 3 4 5 6 7 A. Determine the value of D, and enter it below. Note the tick marks at x = ±n and ±2n. | A:-1.21 B:-1.8 C:-2.6! D: -3.81 E:-5.5 F:-8.0 G:-11.51 H:-16.7 Submit Answer Tries 0/20 B. Calculate (f(x)max + f(x)min)/2. Note that (cos(x)max + cos(x)min)/2 = 0. A:-0.4 B:-0.5C:-0.6OD:-0.7E:-0.9 OF:-1.2OG:-1.4OH:-1.8 Submit Answer Tries 0/20Explanation / Answer
a)
Consider the value of cos(x) at x = 7
cos(7) = 0.754
From the graph, the value of cos(x) + D at x = 7 is -1.07 [There are total 12 divisions and the curve meets y axis on the 12th division, ie -(1 + 1/13)]
D = cos(x) + D - cos(x)
= - 1.07 - 0.754
= - 1.83
= - 1.8
b)
f(x) max = cos(0) + D = 1 - 1.8 = - 0.8
f(x) min = cos(3.14) + D = -1 - 1.8 = 2.8
[f(x)max + f(x)min] / 2 = [ - 0.8 - 2.8] / 2
= -3.6/2
= - 1.8