Question

The following is a graph of $f(x) = -2\cos^2(\frac{x}{3}) + \sin(\frac{x}{3}) + 1$: y x Algebraically determine the x intercepts over the interval $[-10, 10]$ and compare with the graph

          The following is a graph of $f(x) = -2\cos^2(\frac{x}{3}) + \sin(\frac{x}{3}) + 1$:

y

x
Algebraically determine the x intercepts over the interval $[-10, 10]$ and compare with the graph

The following is a graph of f(x) = -2cos^2((x)/(3)) + sin((x)/(3)) + 1:

y

x
Algebraically determine the x intercepts over the interval [-10, 10] and compare with the graph

Added by Richard L.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Heather Zimmers

04/29/2020

Step 1

Step 2: Setting f(x) = 0, we get: -2cos^2((πx)/3)+sin((πx)/3)+1 = 0 Step 3: Let's simplify the equation by using the trigonometric identity cos^2(x) = 1 - sin^2(x): -2(1 - sin^2((πx)/3)) + sin((πx)/3) + 1 = 0 -2 + 2sin^2((πx)/3) + sin((πx)/3) + 1 = Show more…

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The following is a graph of f(x)=-2cos^(2)((pi x)/(3))+sin((pi x)/(3))+1 : Algebraically determine the x intercepts over the interval -10,10 and compare with the graph The following is a graph of fx=-2cos2)+sin+1 : Algebraically determine the x intercepts over the interval [-10, 10] and compare with the graph