Do you have a moment to talk about our Lord and Savior, Cosine? and the Holy Trinity, Sine, Cosine, and Tangent?
Our reading today is from the Book of the Prophet Pythagoras.?ÿ
Is that P&R ? ?????ÿ
There was a day that I never went anywhere without having to pull out and refer to my trig fan to 7 decimal places.
Bought a nice little copy myself to use on the CFedS exam.
I spent a lot of hours learning how to apply corrections in a technically correct fashion. Imagine my disappointment when I found no significant difference using the red book...
I used a one-page trig table like the first page of the link below in geometry classes, much to the chagrin of my younger colleagues who used calculators exclusively. There's just too much instructional value to leave it out. For example, you can clearly see that sine and cosine vary between zero and one, that sines and tangents increase while cosines decrease as angles get larger, that sin^2 + cos^2 always equals 1 (an advanced look at pre-calculus), that the tangent is infinitely large at 90 degrees and lots of other stuff. Of course, every value can be verified with a calculator and that gives students added confidence in using their calculators.
https://academics.uccs.edu/rtirado/Trigonometric%20Table.pdf
It's a great teaching tool and the book ain't bad either. I still have my CRC tables from the early 60s, taped at the spine and full of notes on the end covers.
https://www.ntc.blm.gov/krc/uploads/521/Red_Book.pdf
As you know, some of these tables and trigonometric formulas are found in the computation references section of hardcover field books.
Although I've never used the sine, cosine, and tangent tables to calculate, I learned how to solve triangles by studying
that particular reference.
I bought a one-edition-old CRC tables book as a senior in high school, at the suggestion of our math teacher. I was quite proud of reporting a misprint in one of the tables, but I lost the letter of thanks from the editor. In later editions "my" digit was in a different font.
It was my most-used single book purchase I ever made, aside from textbooks, and still sits on my shelf with its broken spine.?ÿ I still occasionally need to refresh my memory of the trig identities, or look up a normal probability (the thing that almost no calculator has and if they do the tails stop too soon).
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I'm a bit dissatisfied with the old tables that are still in the Elan field book.?ÿ My biggest complaint is the curve tables are for railroad (chord definition) curves and they don't even give the arc-definition formulas.?ÿ The trig formulas omit the law of cosines, of all things.
I've got a set of notes and formulas that get copied into each new book.
Latitudes and departures. How many times have you computed and balanced a traverse by hand? Only calculator was an adding machine and a slide rule. Then the answer for all surveyors worldwide the "miracle of electronics", the HP-35 was introduced. I still have a working 35 with case and users manual and survey pack manual. ?????ÿ