The solid curve below shows the trigonometric function f(x). It has the form f(x

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 L L..... J......L.....J A. Determine the value of D, and enter it below. Note the tick marks at x n and t2n. A: 1.2487 OB: 1.4610 C: 1.7094 D: 2 E: 2.3400 OF: 2.7378 OG: 3.2032 H: 3.7478 Submit Answer Tries 0/20 B. Calculate max min Note that max min 0 A: 0.8192 OB: 1.0240 OC: 1.2800 D: 1.6000 OE: 2 O F: 2.5000 S GB 3.1250 DHB 3.9062 Submit Answer Tries 0/20

Explanation / Answer

Part A:

From graph,

f(x)min = 1 and f(x)max = 3

and

Cos(x)min = -1 and Cos (x)max = 1

Therefore,

from the given function,

f(x)min = cos (x)min + D

D = f(x)min - cos (x)min = 1 - (-1) = 2

D = 2

Option 'D' is Correct Choice.

Part B:

[f(x)max + f(x)min]/2 = {[cos (x)max + D]+[cos (x)min + D]}/2 = [(1+2)+(-1+2)] / 2 = [3 + 1]/2 = 2

[f(x)max + f(x)min]/2 = 2

Option 'E' is Correct Choice.

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