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i came to the problem the wrong way.i thought that i could find all the possibilities for a+b=c+d<=100 without any restrictions and then subtract the ones that include a,b,c or d>50.but that doesn't work.
hi bobbym
i keep getting
hi bobbym
is the case a=1,b=2 the same as the case a=2 and b=1?
hi bobbym
Is one of those definitely the answer?
hi gAr
I still can't seem to get it
All I got is the given expression is the same as and
I'm not sure i know how to do this one but it shoud be e^(1/6).
hi gAr
thanks for opening the topic!
I needed this.
hi zee-f
you should learn when it's better to use substitution method.for example , in 12) its easier just to substitute x from the second equation into the first one.
These problems are very cool but i wish there were more problems on limits.
It's probably wrong.gAr did it the same way and got it correct i might have added binom{20}{10} twice.
hi bobbym
hi bobbym
hi zee-f
look at posts #26 an #27
hi ganesh
hi ganesh
hi all
before i post about the trig functions i would just like to notice that this thread doesn't have a sticky.
now for the trig functions:
First there are some well-known trig functions:
sin
cos
tan(tg)
cot(ctg)
and their inverse functions:
arcsin
arccos
arctan(arctg)
arccot(arcctg)
Then there are some less known:
sec
cosec(csc)
arcsec
arccosec(arccsc)
And there are the least known ones like:
versin(vers,ver)
vercosin
coversin(cvs)
covercosine
haversin
havercosin
hacoversin
hacovercosine(the trig function with the longest name)
exsec
excsc(excosec)
crd(with full name of chord)
Wiki link:http://en.wikipedia.org/wiki/List_of_tr … identities
EDIT:What i forgot to mention are the hyperbolic functions:
sinh,
cosh,
tanh,
coth,
sh,
csch.
MIF stands for MathIsFun which is the name of the administrator of the forum and the name of the forum itself.
hi ganesh
T#7 θ=60°
T #8 I got x=√2
correct.yeah actually every number of the form 13m or 13m+1.
hi zee-f
if you would like to do this using the elimination than it would be like this:
hi ganesh
I agree with bobbym.I think you are right, silverpuma.
hi zee-f
This is how post #18 would look with LaTeX:
Much neater.
hi ganesh
hi ganesh