Login

Welcome, Guest. Please login or register.

April 24, 2024, 11:31:53 am

Author Topic: Deriving/Solving sin/cos/tan 'n1,n2 etc...'  (Read 16177 times)  Share 

0 Members and 1 Guest are viewing this topic.

geoff_821

  • Victorian
  • Trendsetter
  • **
  • Posts: 109
  • Respect: +4
Deriving/Solving sin/cos/tan 'n1,n2 etc...'
« on: November 01, 2011, 10:02:00 pm »
0
So I'm doing the 2010 VCAA Methods Exam - Exam 2
I'm on question 3 - extended response with the pyramid thing.
On part e, it asks to find the max volume, where u must derive the volume and let it equal to zero and find the values of x.
I have derived it successfully,
however when I type the derived function into my TI-nSpire CAS Calculator, let it equal to zero and solve I get:

"x= 2•n11•π + "  cos^(-1)⁡〖√3/3〗  or x="2•n11•π - "  cos^(-1)⁡〖√3/3〗  etc….


gahh ^ that formula just failed, but i hope you get what i'm tryna ask. how do i overcome this whole n11 shit?

b^3

  • Honorary Moderator
  • ATAR Notes Legend
  • *******
  • Posts: 3529
  • Overloading, just don't do it.
  • Respect: +631
  • School: Western Suburbs Area
  • School Grad Year: 2011
Re: Deriving/Solving sin/cos/tan 'n1,n2 etc...'
« Reply #1 on: November 01, 2011, 10:04:53 pm »
0
Define the domain by adding what is in the quote marks "|lowerbound<=x<=upperbound" after you close the bracket for the solve
2012-2016: Aerospace Engineering/Science (Double Major in Applied Mathematics - Monash Uni)
TI-NSPIRE GUIDES: METH, SPESH

Co-Authored AtarNotes' Maths Study Guides


I'm starting to get too old for this... May be on here or irc from time to time.

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: Deriving/Solving sin/cos/tan 'n1,n2 etc...'
« Reply #2 on: November 01, 2011, 10:07:31 pm »
0
never ever solve for trig functions with a domain, why? you get infinite solutions
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

geoff_821

  • Victorian
  • Trendsetter
  • **
  • Posts: 109
  • Respect: +4
Re: Deriving/Solving sin/cos/tan 'n1,n2 etc...'
« Reply #3 on: November 01, 2011, 10:10:13 pm »
0
Define the domain by adding what is in the quote marks "|lowerbound<=x<=upperbound" after you close the bracket for the solve

oh yeah I did that also.

has anyone done this question? how did u get around to ur solution?

b^3

  • Honorary Moderator
  • ATAR Notes Legend
  • *******
  • Posts: 3529
  • Overloading, just don't do it.
  • Respect: +631
  • School: Western Suburbs Area
  • School Grad Year: 2011
Re: Deriving/Solving sin/cos/tan 'n1,n2 etc...'
« Reply #4 on: November 01, 2011, 10:17:50 pm »
0
never ever solve for trig functions with a domain, why? you get infinite solutions
Do you mean with a domain or without a domain?
2012-2016: Aerospace Engineering/Science (Double Major in Applied Mathematics - Monash Uni)
TI-NSPIRE GUIDES: METH, SPESH

Co-Authored AtarNotes' Maths Study Guides


I'm starting to get too old for this... May be on here or irc from time to time.

Greatness

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3100
  • Respect: +103
  • School Grad Year: 2011
Re: Deriving/Solving sin/cos/tan 'n1,n2 etc...'
« Reply #5 on: November 01, 2011, 10:26:50 pm »
0
when you solve, at the end of the calculator syntax put | (given that sign) domain. So something like:
solve(sin(x)=1/2,x)|0<x<2TT

BubbleWrapMan

  • Teacher
  • Part of the furniture
  • *
  • Posts: 1110
  • Respect: +97
Re: Deriving/Solving sin/cos/tan 'n1,n2 etc...'
« Reply #6 on: November 01, 2011, 10:46:05 pm »
0
0<x<π/2 for the shape to exist.
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: Deriving/Solving sin/cos/tan 'n1,n2 etc...'
« Reply #7 on: November 01, 2011, 10:49:30 pm »
0
never ever solve for trig functions with a domain, why? you get infinite solutions
Do you mean with a domain or without a domain?
without* loooooooooool

also if you're not sure about which domain you need to solve for, sometimes just put a large domain and the calc will give you plenty of answers to choose from :)
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

geoff_821

  • Victorian
  • Trendsetter
  • **
  • Posts: 109
  • Respect: +4
Re: Deriving/Solving sin/cos/tan 'n1,n2 etc...'
« Reply #8 on: November 02, 2011, 05:43:18 pm »
0
All is solved, tried the question today (with the domains) and it worked, dunno what I was doing wrong last night.
Cheers for the help!