Is sum of sin(pi/n) DV or CV?
I don't understand why it is DV.
sin pi/1 = 0
sin pi/2 = 1
sin pi/3 = .866
sin pi/4 = .707 and pi/4 = .785
sin pi/5 = .587 and pi/5 = .628
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sin pi/100 = .0314107 and pi/100 = .0314159
as we know sin x ---> x as x gets big
so terms get progressively smaller like 1/n (which converges to e) so I think it converges.
1/n! converges to e
1/n does not converge!!!!
every term in our series sin (pi/n) is bigger than 1/n
So it does NOT converge!!
(This is what I get for counting on my aged memory)
To determine whether the sum of sin(pi/n) is a dependent variable (DV) or an independent variable (IV), we need to consider the context in which it is being used.
The sum of sin(pi/n) refers to the sum of the sine function evaluated at equally spaced angles between 0 and pi. The value of n determines the number of angles being considered.
If the sum of sin(pi/n) is being used as a variable whose value is determined by other factors in an experiment or analysis, then it would be considered a dependent variable (DV). In this case, the value of n is chosen or manipulated by the experimenter or analyst, and the sum of sin(pi/n) is measured or observed in response to those choices.
For example, if you were conducting an experiment where you varied the number of angles n and measured the resulting sum of sin(pi/n), then the sum of sin(pi/n) would be the DV.
However, if the sum of sin(pi/n) is being used as a variable that is chosen or manipulated by the experimenter or analyst, and other variables are measured or observed in response to that choice, then it would be considered an independent variable (IV).
In most cases, when the sum of sin(pi/n) is discussed in mathematical or analytical contexts, it is treated as an independent variable (IV). The value of n is chosen or specified by the analyst, and the sum of sin(pi/n) is calculated or evaluated based on that choice.
So, in general, the sum of sin(pi/n) is considered an independent variable (IV) rather than a dependent variable (DV).