Author Topic: help needed in Deriving Inverse Trigonmetric Functions (Not urgent this time :D)  (Read 4030 times)

Offline SGVaibhav

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[WARNING: VERY ANNOYING STUFF INSIDE ---> ENTER AT UR OWN RISK]



need to explain to full class, that how do we derive
the derivatives of arcsin, arccos, arctan, arcsec, (need to explain to full class, that how do we derive and get this values).
need to submit with 4-5 pages of handouts.
if anyone can help in any way, please do,
right now, i am reading it in wiki, (but am pretty confused ???) (lol :D still maths is fun :D)
« Last Edit: November 10, 2009, 06:19:51 pm by sgvaibhav »

Offline slvri

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y dont u post this in the a level thread instead?
and inverse trig derivatives...dont know how to do them.......sory.....i bet astar knows
i hate A level...........

Offline Zain-Xa

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Offline Tyserius

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Gimme a moment, I'll give you an example and you can try proving it on other inverse trigo functions :) Will post it after this.
Take it easy and go slow and steady.

Offline SGVaibhav

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well, i was reading on wiki, how to derive the inverse sine function.
and i came across this
they have reached till here

http://upload.wikimedia.org/math/a/b/3/ab3d5da927e35f4370bb0b9c0b483189.png

and now they wrote this thing
http://upload.wikimedia.org/math/8/8/a/88aedc93821b18cfc22c28cf970cd133.png

from where does this come ???

Offline Tyserius

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Is this what you need?
Take it easy and go slow and steady.

Offline SGVaibhav

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reading
looks effective so far
excited
will try that on cos and will tell if it works
Be right back reading :D

Offline SGVaibhav

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how do we know that we have to find the adjacent side ???
and how do we get (root)1-x^2, that is confusing me

Offline SGVaibhav

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im not getting it  :'(

Offline Tyserius

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'Cause sin y = x which from that you know the opposite side is x and the hypotenuse is 1. What about the adjacent? Imagine a right-angled triangle with one of its acute angles as y.
Take it easy and go slow and steady.

Offline SGVaibhav

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how is the hyp 1

Offline Tyserius

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sin y = x meaning sin y = x/1 haha. And sin = opposite/hyp
Take it easy and go slow and steady.

Offline SGVaibhav

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lol thanks,
let me try to continue
so stupid  >:(

Offline Tyserius

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Haha, no prob :D You might have a problem with sec and cosec though, but do try it xD
Take it easy and go slow and steady.

Offline SGVaibhav

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lool

i was typing, BRAINS r like parachutes, plz open
and was going to type a doubt.
but got the answer

im convinced how do i get the answer, but im not sure if this method will be enough to convince others. im practicing how to convince others :D  ;D ;)
thanks for help :D