Yes...it was inevitable that I was going to write about maths at some point :P !
Anyway, I've just finishes my third Pure Maths module! My problem is, however, that, while I have managed to commit most of the material to memory, there are four identities called 'factor formulae' which seem to be causing me some problems. Basically, I simply cannot think of a good mamory aid for them! If you can think of one, please tell me.
Also, if you have no idea what I'm talking about, here are those factor formulae:
sin P + sin Q ≡ 2 sin[(P + Q)/2] cos[(P - Q)/2]
sin P - sin Q ≡ 2 cos[(P + Q)/2] sin[(P - Q)/2]
cos P + cos Q ≡ 2 cos[(P + Q)/2] cos[(P - Q)/2]
cos P - cos Q ≡ -2 sin[(P + Q)/2] sin[(P - Q)/2]
Any advice???
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2 comments:
Hi,
Today in school you were able to tell me one of them from memory (I think it was cos P + cos Q ≡ 2 cos[(P + Q)/2] cos[(P - Q)/2]) and I said that with the negative formulae "it's a sin to take away"! :p
Also, it might help to take a different learning style. I found that even though I didn't know how to convert Celsius to Fahrenheit initially, once I made a converter for it in C++ it worked like a charm. I don't know if you're confident enough with your C++ skills to write a program for them, since they look advanced, but if you can I hope it's useful.
I think I probably could do that; I'll probably add the ability to do it in the next DeltaSolve release. I know they look a bit advanced, but all it needs is a bit of C++ algebra, and sine and cosine functions.
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