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Thread ID: 50227 2004-10-14 08:57:00 [ OT ] Cosine Rule ApeNz (4220) Press F1
Post ID Timestamp Content User
281086 2004-10-14 08:57:00 HI , I was wondering if anyone knew how the cosine rule is Derived , the rule is a2 = b2 + c2 - 2 xbc * cos (angle) - the twos at the front are meant to be to the power of twos. Thanks

Ape
ApeNz (4220)
281087 2004-10-14 08:59:00 rule is a2 ( power of two ) = b2 ( power of two ) + c2 ( power of two ) - 2 * bc cos ( angle ) ApeNz (4220)
281088 2004-10-14 09:12:00 Do you REALLY have to get my brain going? :(

c2 = a2 + b2 - a·sin(B)·b·sin(A) - a·sin(B)·b·sin(A) + 2ab·cos(A)·cos(B)
= a2 + b2 + 2ab(cos(A)cos(B) - sin(A)sin(B))
= a2 + b2 + 2ab(cos(A + B))
= a2 + b2 + 2ab(cos(180o - C))
= a2 + b2 - 2ab(cos(C))

As you would know, they 2's after the a and b's are squares, while the other ones are multiples. If you get stuck, get back and ask. Google does produce much decent answers for this though. Hope you haven't forgotten it :D
~~~~~ s y ~~~~~ (2054)
281089 2004-10-14 09:14:00 Written as a^2 = b^2 + etc.
It's derived from page 73 in my old book ;)
R2x1 (4628)
281090 2004-10-14 11:44:00 I think they give you one equation in the exam (is that right?) and then you can easily re-arrange them to suit yourself for working out the question. alphazulusixeightniner (185)
281091 2004-10-14 19:25:00 Thanks , yeah they do give it in the exam , i just wanted to know how they got it - helps me understand things more ApeNz (4220)
281092 2004-10-15 03:44:00 what maths are you doing? year 11 or year 12??
last year in maths (year 11) there was a trig paper but it never had the cosine rule. actually we did the cosine this year in maths but it was a internal. im 99.9999999% sure that this isnt in the exams
Prescott (11)
281093 2004-10-15 04:28:00 hehehe, Soh Cah Toa. Jams (1051)
281094 2004-10-15 05:55:00 I hate trig, wait a second, i hate maths slash school altogether!

- David
DangerousDave (697)
281095 2004-10-15 06:17:00 trig isnt that bad, its not that hard either Prescott (11)
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