Author Topic: help needed in Deriving Inverse Trigonmetric Functions (Not urgent this time :D)  (Read 4031 times)

Offline Tyserius

  • Actuary Wannabe
  • SF Geek
  • ****
  • Posts: 318
  • Reputation: 383
  • Gender: Male
  • You are who you choose to become
It will be, trust me :D By the way, you wanna show how you showed your working? Maybe you can try include a figure of a right-angled triangle to explain the specific lengths :)
Take it easy and go slow and steady.

Offline SGVaibhav

  • SF Farseer
  • *******
  • Posts: 3013
  • Reputation: 5737
  • Gender: Male
  • Bugatti Veyron 16.4
found out, how to explain

the only confusing part to explain is the adjacent part, so i will find out adj in the beginning, when i draw a triangle.
now going to COS
hope its easy :D

Offline Tyserius

  • Actuary Wannabe
  • SF Geek
  • ****
  • Posts: 318
  • Reputation: 383
  • Gender: Male
  • You are who you choose to become
found out, how to explain

the only confusing part to explain is the adjacent part, so i will find out adj in the beginning, when i draw a triangle.
now going to COS
hope its easy :D

Haha, I guess you can do it :D you can do it like let's say you draw a triangle ABC. Angle ABC = 90. Put angle CAB as y then you can illustrate :)

And be careful on the cosine part. Remember that its derivative is a negative sine. :)
Take it easy and go slow and steady.

Offline SGVaibhav

  • SF Farseer
  • *******
  • Posts: 3013
  • Reputation: 5737
  • Gender: Male
  • Bugatti Veyron 16.4
DONE xD
first try, did not use the net also, no helps
wow :D,

now i got 2 more functions remaining
tan inverse and sec inverse
tan should not be a big prob

sec looks scary  :o ::) O0
going with Tan now

Offline Tyserius

  • Actuary Wannabe
  • SF Geek
  • ****
  • Posts: 318
  • Reputation: 383
  • Gender: Male
  • You are who you choose to become
Haha! You can do it! :D Once you get the hang of it you can do it :) You wanna try the following?

Find the derivative of y = sin^-1 3x^2 :D
Take it easy and go slow and steady.

Offline SGVaibhav

  • SF Farseer
  • *******
  • Posts: 3013
  • Reputation: 5737
  • Gender: Male
  • Bugatti Veyron 16.4
crap crap crap
im stuck with sec, i know how to do it.
but i hope other classmates understand, because im not good at EXPLAINING algebra, because i do it mentally, specially stuff such as sec y = 1 / cos y
so that is = 1 / (adj / hyp)
crap boring to explain  :-\

let me try to finish it now  :)

Offline SGVaibhav

  • SF Farseer
  • *******
  • Posts: 3013
  • Reputation: 5737
  • Gender: Male
  • Bugatti Veyron 16.4
got the answer

is the answer 1 / (1 + x^2) ???
lol i dont know.
w8 checking book

right :D :D :D

now the scariest part ever
the don of DONS   sec filled with modulus

doing sec inverse now

Offline Tyserius

  • Actuary Wannabe
  • SF Geek
  • ****
  • Posts: 318
  • Reputation: 383
  • Gender: Male
  • You are who you choose to become
crap crap crap
im stuck with sec, i know how to do it.
but i hope other classmates understand, because im not good at EXPLAINING algebra, because i do it mentally, specially stuff such as sec y = 1 / cos y
so that is = 1 / (adj / hyp)
crap boring to explain  :-\

let me try to finish it now  :)

Haha, you want me to try do it for you? :)
Take it easy and go slow and steady.

Offline SGVaibhav

  • SF Farseer
  • *******
  • Posts: 3013
  • Reputation: 5737
  • Gender: Male
  • Bugatti Veyron 16.4
let me try
practice
trying

Offline Tyserius

  • Actuary Wannabe
  • SF Geek
  • ****
  • Posts: 318
  • Reputation: 383
  • Gender: Male
  • You are who you choose to become
let me try
practice
trying

Haha! Okay, lemme know if you're stuck xD
Take it easy and go slow and steady.

Offline SGVaibhav

  • SF Farseer
  • *******
  • Posts: 3013
  • Reputation: 5737
  • Gender: Male
  • Bugatti Veyron 16.4
awww

reached

dy/dx = 1 / (x .  root (x^2 - 1) )

lol hope u got that part
now thinking how to proceed.
if i multiply the whole thing by x^2 - 1 , then the root still stays.
if i multiply the whole thing by the root of x^2 ....., then the root comes above

Offline SGVaibhav

  • SF Farseer
  • *******
  • Posts: 3013
  • Reputation: 5737
  • Gender: Male
  • Bugatti Veyron 16.4
w8

i checked my book now, and this is the final answer,

except the modulus part exists for x.
how does the modulus come ???
need help now

Offline Tyserius

  • Actuary Wannabe
  • SF Geek
  • ****
  • Posts: 318
  • Reputation: 383
  • Gender: Male
  • You are who you choose to become
Hmm I saw that too. Lemme think about the modulus part :) Gimme a while.
Take it easy and go slow and steady.

Offline Tyserius

  • Actuary Wannabe
  • SF Geek
  • ****
  • Posts: 318
  • Reputation: 383
  • Gender: Male
  • You are who you choose to become
w8

i checked my book now, and this is the final answer,

except the modulus part exists for x.
how does the modulus come ???
need help now

Hmmm... I think this site can help :)

http://archives.math.utk.edu/visual.calculus/3/inverse_trig.1/5.html
Take it easy and go slow and steady.

Offline Tyserius

  • Actuary Wannabe
  • SF Geek
  • ****
  • Posts: 318
  • Reputation: 383
  • Gender: Male
  • You are who you choose to become
So, do you understand it now? xD
Take it easy and go slow and steady.