I seem to have a problem with solutions for a sine function. A 60 hz frequency leads to a problem. A frequency of 60 hz leads to an angular frequency of 377 rad/sec.
First, look at 3.77 rad/sec, which leads to a correct answer: Solve(sin(3.77t),t, [0,10]). Gives, 0, 100 pi/377 for the first two roots
Next, look at 37.7 rad/sec, which leads to a correct answer: Solve(sin(37.7t),t,[0,1]). Gives, 0, 10 pi/377 for the first two roots
But, for 377 rad/sec, we get an incorrect answer: Solve(sin(377t),t,[0,0.1]). Gives, 0, 4 pi/377, the correct answer is 0, pi/377.
Actually, in MathStudio I get multiple solutions, all multiples of pi and 2 pi and all correct solutions. That aside, 4*pi/377 is a valid solution just as much as pi/377.
Sorry, being a Professor in engineering, leaving out the first non-zero prositive root for a common AC power-line function is not acceptable. I could not recommend the app to my students in this case.
I think you did not understand my reply. The equation has multiple solutions. You have given it a rather wide range to solve for and MS did just that, it returns the multiple solutions INCLUDING pi/377. It does not leave out the first non-zero positive root.
I ran that too. It picks up the (-)pi/377 on the negative side of zero, but not the (+)pi/377 on the positive side of zero. I guess this DOES qualify as a bug. You wanna have some fun? Try the guess interval [0,.02]. It comes up with some crazy (incomplete) set of roots, not symmetric positve x to negative x. The roots are all correct, but very incomplete over the interval searched.