Originally posted by jiaxing2:skythewood's solution is correct...its probably a typo (should be ln instead of log)
stop dismissing ppl's solution like ur a big f+++
part 2 is nt tough at all...tan x / ( 1 + tanx ) = sinx / (sinx +cos x)
consider intergral of (cosx-sinx)/(sinx + cos x) = ln (sinx + cosx ) ...then Let Y =
(cosx-sinx)/(sinx + cos x) , Z = sinx / (sinx +cos x)
1-2Z = Y
Z = (1-Y)/2
thus its intergral = 0.5 (x- ln (sinx + cosx ))
and hence subbing in the values answer is pi/4...
i decline to comment on part (i)...serves no mathematical meaning...if u want challenge go solve this :
find the number of digits in n! .....
Your part 2 is right.
Instead of In, skythewood type log .. it is still wrong. So i ask him for the answer which he happily reply sub in yourself. Not bad huh! damn proud. Even got the gut to say my FM teacher is bo liao. No bad.
Your n!, I will get back to it.
U say part 1 has not mathematical meaning, well tell me why does principal argument in complex number exists?
Originally posted by jiaxing2:skythewood's solution is correct...its probably a typo (should be ln instead of log)
stop dismissing ppl's solution like ur a big f+++
part 2 is nt tough at all...tan x / ( 1 + tanx ) = sinx / (sinx +cos x)
consider intergral of (cosx-sinx)/(sinx + cos x) = ln (sinx + cosx ) ...then Let Y =
(cosx-sinx)/(sinx + cos x) , Z = sinx / (sinx +cos x)
1-2Z = Y
Z = (1-Y)/2
thus its intergral = 0.5 (x- ln (sinx + cosx ))
and hence subbing in the values answer is pi/4...
i decline to comment on part (i)...serves no mathematical meaning...if u want challenge go solve this :
find the number of digits in n! .....
your integral method is fast
but for a clearer and more brute force method (if you teach tuition), multiply top and bottom by (cos x - sin x) instead
Then you can use double angle formula to convert everything and you will be able to integrate with ease too. ;)
ahhh
i no like maths
1+1=2
1+1=3
1+1=4
the x at one of the 1 keep changin!
Originally posted by Uncertain:Your part 2 is right.
Instead of In, skythewood type log .. it is still wrong. So i ask him for the answer which he happily reply sub in yourself. Not bad huh! damn proud. Even got the gut to say my FM teacher is bo liao. No bad.
Your n!, I will get back to it.
U say part 1 has not mathematical meaning, well tell me why does principal argument in complex number exists?
why no guts?
your f maths teacher is bo liao
Originally posted by skythewood:why no guts?
your f maths teacher is bo liao
My FM teacher has a Master in mathematics. Going to PhD.
What is yours?
Originally posted by Uncertain:
My FM teacher has a Master in mathematics. Going to PhD.What is yours?
even if he is the king of the universe, i will still say he is bo liao.
I didn't see any pattern in n!. This one really beats me.
Originally posted by skythewood:even if he is the king of the universe, i will still say he is bo liao.
Anything u say. Don't spam this thread with ur nonsense.
Originally posted by Uncertain:
Anything u say. Don't spam this thread with ur nonsense.
haha
Number of digits in n!:
1</= n(n!) </= infinity
O.O
Where </= refers to more than or equal to...?
XD