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I used graphing technology to solve this equation over the domain 0 ≤ x < 2π: 5 cos (2x) +1 = 3 sin x.

 

I have to determine the general solution, which is x = 0.69 + 2πk, k E Z.

 

Why is 2πk used? When I solved for the difference of two intercepts (ex. 2.448 - 0.693), they don't have a difference of 2π.

 Jun 11, 2020
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The two intercepts you used were not "a full wave" apart.

If you are going to use the intercept 2,4484124, you'll need to use the intercept -3.834773.

 

If you use a grapher, make certain that you have a sufficient amount of the graph in view, so 

that you can see what constitutes "a full wave" and get two corresponding zeros.

 

If you do, then you will get 2 pi.

 Jun 11, 2020

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