Let's say I need the decimal value of $\sin/\cos/\tan$ of $33°6'13''$, or just any non-standard value. How do I do that without using a calculator?
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1In general, without a calculator, you don't. The usual approach is to approximate via a series expansion. This is btw what a calculator does – G. Chiusole Aug 25 '19 at 18:31
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Back in the day, you went and bought a book with tables of values, precisely because it was a hassle to compute by hand. – Arthur Aug 25 '19 at 18:36
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@G.Chiusole This is really strange. I'm looking at a question right now that requires me to do an arcsine (64/91) but on the exam I had it on I was asked to use a 4-function calculator only. What am I missing? – Ivan Aug 25 '19 at 18:40
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1@Ivan my guess is that you were supposed to use addition theorems and the like to bring it to a known form – G. Chiusole Aug 25 '19 at 18:41
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@G.Chiusole Do you know what those formulas are? – Ivan Aug 25 '19 at 18:43
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@Ivan Short answer: one of these. On another note, the value of $\text{arcsine}(64/91)$ is about $0.24828945029 \pi$. So I'm not sure how the problem was supposed to be solved. – G. Chiusole Aug 25 '19 at 18:54
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1The way to find out about your previous exams: ask the instructor. We do not know what else was in that course. – GEdgar Aug 25 '19 at 22:30