Login

Search the forums now!

Welcome, Guest. Please login or register.

May 21, 2025, 08:24:04 pm
Pages: [1]   Go Down

Author Topic: i^i  (Read 790 times)  Share 

0 Members and 1 Guest are viewing this topic.

BigAl

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1144
  • Respect: +43
  • School: Isik College
i^i
« on: September 29, 2012, 01:09:57 pm »
0
I haven't seen such a question neither in trial exams, nor in this forum. Yet I saw this question and its solution on a Turkish forum and I realised that its solution is applicable within the methods we learned in specialist maths ( apart from the euler's identity which actually forms 'cis' ). Is there any chance that we would encounter such a problem in the exam? If you don't mind I would like to share the solution as well.
Logged
2012 ATAR:88.90

2013-2015 Bachelor of Aerospace Engineering and Science (dropped in 2015)
2015-2017 Bachelor of Engineering (Mechanical)

BubbleWrapMan

  • Teacher
  • Part of the furniture
  • *
  • Posts: 1110
  • Respect: +97
Re: i^i
« Reply #1 on: September 29, 2012, 01:12:51 pm »
+1
Don't you have to use ? I'm pretty sure that isn't in the spesh course.
Logged
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.

BigAl

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1144
  • Respect: +43
  • School: Isik College
Re: i^i
« Reply #2 on: September 29, 2012, 01:15:09 pm »
0
that's what I meant. doesn't euler's identity form 'cistheta' ? I don't want to go into detail..but assuming you are advanced in maths, if we expand euler's number to the power x by taylor expansion, we obtain euler's identity right? and hence cis form on the right side if we substitute i instead of x..that's what I mean...from that equivalence we can solve for i^i. If cistheta is in the course why not i^i is not applicable within current methods in spesh?
« Last Edit: September 29, 2012, 01:24:51 pm by alperenerol »
Logged
2012 ATAR:88.90

2013-2015 Bachelor of Aerospace Engineering and Science (dropped in 2015)
2015-2017 Bachelor of Engineering (Mechanical)

BubbleWrapMan

  • Teacher
  • Part of the furniture
  • *
  • Posts: 1110
  • Respect: +97
Re: i^i
« Reply #3 on: September 29, 2012, 01:33:17 pm »
0
Taylor expansion isn't in the course either. If you are given Euler's formula then you can evaluate but since it's not in the course you wouldn't have to.
Logged
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.

BigAl

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1144
  • Respect: +43
  • School: Isik College
Re: i^i
« Reply #4 on: September 29, 2012, 01:46:25 pm »
0
it's very pointless to introduce cis form without euler's identity. I think I drained it :D :D :D anyways
Logged
2012 ATAR:88.90

2013-2015 Bachelor of Aerospace Engineering and Science (dropped in 2015)
2015-2017 Bachelor of Engineering (Mechanical)

BubbleWrapMan

  • Teacher
  • Part of the furniture
  • *
  • Posts: 1110
  • Respect: +97
Re: i^i
« Reply #5 on: September 29, 2012, 01:50:35 pm »
0
I agree, but what can you do :P
Logged
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.
Pages: [1]   Go Up