I guess to be more nit-picky (pedantic?) I wouldn't cal that one a PSQ because it's not a Problem Statement or an exercise at all. It's an honest-to-goodness question about mathematics.
With no context... No motivation... no explanation of why it is of interest to the asker, ... no nothing except a question which I consider a PSQ.
No different than a question of the sort: Can an equilateral triangle also be an isosceles triangle? Can a right triangle also be an isosceles triangle?
Can $\sin x$ be expressed in terms of $\cos x$ and vice versa? : Again... no research, no definitions, no context, no motivation.
You don't think an edit to the question text to provide some motivation would be more appropriate than deletion? Something along the lines of "we just learned about hyperbolic functions, and I wanted to know if there was some connection between the two. Can you define hyperbolic trig functions in terms of the usual trig functions? Can you relate them in some other way? Or do they just correspond to completely different mathematical contexts"?
I think that question is a good addition to the site for Encyclopedic reasons, for future users of the site who might have the same thought. (Honestly, I think the ones you listed should be somewhere on the site too, although they are much more thoughtless).
@MikePierce I'm all for an edit to the question. An edit by the original asker, that is, not from someone who manufactures what might have been the asker's motivation.
So can I edit to ask "I have an assignment due tomorrow. I have to express sinh x in terms of sin x. Please help me! Oh, and I need to know if this applies to cosh x, in terms of cos x, etc. Please help me!
@MikePierce In any case, clearly I disagree with your position. And I think it was entirely inappropriate to hijack a poor quality question to ask what you would have liked to have been asked. How would you feel about me hijacking it to edit it back to a "do it for me" "question".?
@amWhy Yeah, there's a general trend here where we disagree with each other ;)
Edits to questions are meant to improve the questions, right? Improve them in the sense of making them more thorough, more well-posed, more appropriate for the site, yeah? I think my edit was an improvement, and your suggestions would not be improvements.
So what should I do, as someone who thinks that the question underlying that post is a good question, do to ensure that question stays on the site somewhere? Should I go ask the same question myself, making sure to include some context/motivation so it doesn't get closed/deleted as a PSQ? That seems like such a waste of everyone's time. Especially the time spend my the users who answered the original question.
@MikePierce That is called an edit war, which will trigger mod alert IIUC. Users might be suspended because of that if they refuse to stop, so just don't waste your time doing that.
@MikePierce: MartinSleziak has, on a few occasions, taken a poorly constructed question and created from the underlying interesting mathematics a new question (with, perhaps, links back to the old question). If the new question is tailored to match the answers to the old question, the old answers can be merged into the new question.
I think that there is a (more or less broad) consensus that edits should not put words into the mouths of other people (hence the "Clearly conflicts with the author's intent" reason-to-reject in the Suggested Edits queue). In this case, I suspect that the original author is long-gone, and that isn't such a huge issue, but it still seems disingenuous to tell a story about "I just learned about $\sinh$ and $\cosh$, and want to know more!"
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I would also note that there is some lack of focus or clarity in the original question, as demonstrated by Owen's answer, which kind of contradicts the other two (not deleted) answers; a rephrased question could likely clear that up quite a bit.
@XanderHenderson and @MikePierce I am not sure whether there is consensus about editing the questions of others, but this was definitely discussed before. Here is one post on meta (maybe you can find a few other related discussions): Editing someone else's question to add context.
It is from 2015, so positions of some users might have shifted since then.
@MarkMcClure I'm not sure why rejected migrations are locked. Probably to prevent them being reopened on two sites. That's consistent with migrated questions being locked on the origin site (while the migration is not rejected).
It seems that Mathematica site has 35% questions rejected (90 days average): math.stackexchange.com/tools/posts/migrated/stats I am not sure how high numbers should be expected there - but seeing that it is close to MO, I'd guess this is quite high.
@MikePierce Are you deliberately trying to intervene in questions I may find problems with? Trying to improve only questions I list here in a comment? If yes, then you don't belong here, if only trying target me and the posts I comment upon.
@amWhy Oh on no. I'm not trying to intervene in questions that you specifically are looking to close/delete. I'm sorry that it looks like it's coming off that way. While I disagree with some of your close/delete decisions, I think you're right most of the time, and all the work you're doing here is a net good for the site.
About that last question, it's just become a habit to make easy/grammar edits to a question before it get's closed (so it doesn't get thrown on the reopen queue for someone else making those easy/grammar edits).
@MikePierce Sorry I misunderstood. I like your strategy. I hadn't taken note of the time of the edit/time of the "on hold" which, had I taken note, I could have spared you my last comment! :-)