SIN(X)^COS(X)

[chazzs]

(12-01-2017 07:40 PM)lrdheat Wrote:  As an example, on the iPad Prime, 4.0171 on the graph produces a "y" value of +/- ~1.1843663159. On my WP34S, I get the ~1.1843663159 result when I take the absolute value of the complex number that is produced by sin(4.0171)^cos(4.0171) in radian mode...

I think the advanced graphing app should not be plotting this part of the graph on the real number plane.

Oh, I think it should. There are an infinite real values between pi and 2pi, it just so happens that there are many more complex results. The real ones are nearly impossible to find, but they do exist. Some are positive and some are negative (along with the complex.) In the advanced graphing app you are "seeing" all of these POINTS, and definitely not a continuous graph.

This is similar to plotting y=(-2)^x. Most calculators show various points for the function, i.e, (0,1), (1,-2), (2,4), etc. Also, some values are real for some rational exponents, i.e., when x=1/3 (there is a real root and two complex, most calculators will plot the real), and some are complex, i.e., x=1/2. Hence the discrete nature of the graph.

I believe that is what is happing to sin(x)^cos(x).

C