Addition formulas (ex: sin(a+b) = sina cosb + cosa sinb )
Power reducing formulas (sin(a)^2 = (1-cos 2a)/2 )
Half and double angle formulas (derived from the above two formulas)
Sum to product formulas ( sina + sinb = 2sin((a+b)/2)cos((a-b)/2) )
and product to sum formulas ( cosa * sinb =...
I have learned a lot of formulas for converting trigonometric values, but when I looked up sin(pi/10) I got the exact answer (1/4)(√5 +1). I tried to arive at this using formulas, but I couldn't. How is this found? What other angles can be found exactly.
Ps. I already know about how taylor...
I don't think anyone can explain it, but does anyone know what is up with this news about neurtinos going faster than the spead of light? I can feal all of physics crumbling around me whenever I think about it!
Can't you make a set out of anything? I already know the ordinals are uncountably infinate, so I just want it one step farther, "how" uncountably infinate.
PS. I mean the set of the numbers themselves, not the sets they describe.
Does anyone happen to know what the cardinality of the set of ordinal number (transfinite and otherwise) is? A simplified proof would also be much appreciated. Recently I have been very interested in transfinite numbers and the logically gorgeous proofs involved :D