This response has been updated. I have corrected the margins for the displayed expression and have rewritten my response, below.
I like your interpretation, except I have questions about the sin function. Section 195.e doesn't give us any guidance about what to do when function notation won't fit on one line. I have been told not separate the function name from its associated "argument" (what comes after the function name--I'm not sure what to call that expression). So I would opt for keeping the grouped expression undivided, as shown in the first way I transcribed this in the attached BRF file. In that transcription, I kept "sin [___]+738" on one line.
Others may feel that "390 sin" should not be divided between lines, since it is unspaced in braille. I have shown another option for transcribing this (in the attached BRF file) which divides before the opening parenthesis that occurs inside the bracketed portion.
In neither transcription have I divided again before the plus sign. The practice of making further divisions at locations higher on the priority list has fallen out of favor, and is not stated in the code.
Regarding your question about whether to include the word "latitude" as part of the Nemeth term "60° N", since "60° N latitude" is not part of a math expression, the word is just a word, and so it is correct to transcribe "latitude" in UEB.
I'm glad we are here to help, too.
This reply was modified 2 years, 5 months ago by Lindy Walton.
This reply was modified 2 years, 5 months ago by Lindy Walton. Reason: Removed simbraille; corrected margins in attachment; added more explanations
I don't think this is a linked expression requiring special margins so shouldn't all the runovers begin in cell 9?
It feels very uncomfortable to separate the number attached to the front of "sin" but then it also feels wrong to divide the grouped expression. My "logic" was that the reader would expect the continuation of the grouped expression on the next line. I also considered dividing before the opening parenthesis within the grouping in brackets. No particularly good choices here. 🙁
Also, I had another question on that attachment about what to include within Nemeth indicators, if you wouldn't mind taking a look at that please.