Login

Welcome, Guest. Please login or register.

June 17, 2024, 08:10:58 am

Author Topic: Convert (-2)+ 2√3 i to polar form?  (Read 1768 times)  Share 

0 Members and 1 Guest are viewing this topic.

chickenpop

  • Victorian
  • Trendsetter
  • **
  • Posts: 115
  • Respect: +1
Convert (-2)+ 2√3 i to polar form?
« on: October 28, 2010, 05:10:11 pm »
0
I keep on getting this wrong for some reason, think I'm missing something crucial 

I always get (-pi/3) as the angle, but it's actually 2pi/3. What am I doing wrong? :-\

98.40_for_sure

  • vtec's kickin in yo!
  • Victorian
  • ATAR Notes Superstar
  • ******
  • Posts: 2589
  • Respect: +10
Re: Convert (-2)+ 2√3 i to polar form?
« Reply #1 on: October 28, 2010, 05:12:45 pm »
0
Designate a reference angle and solve. Then according to quadrant, specify the actual angle
2009: Texts & Traditions (28)
2010: English (45), Chemistry (40), Methods CAS (43), Specialist Maths (42)
ATAR: 98.40

Booksale: http://vce.atarnotes.com/forum/index.php/topic,33456.0.html
MM & SM tuition: http://vce.atarnotes.com/forum/index.php/topic,33942.0.html

InitialDRulz

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 339
  • Respect: +2
Re: Convert (-2)+ 2√3 i to polar form?
« Reply #2 on: October 28, 2010, 05:13:17 pm »
0
well the negative 2 means its gonna be in the left hand side...

So yeah LOL
Maths Methods Examination 1 Cone of Death Facebook Fan Page

2011: Bachelor of Business Information Systems (IBL Stream) - Monash University Clayton

superflya

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1763
  • EL-Heat.
  • Respect: +8
Re: Convert (-2)+ 2√3 i to polar form?
« Reply #3 on: October 28, 2010, 05:13:50 pm »
0
graph it and see where the point lies, u subtract pi/3 from pi.
2010- English, Methods (CAS), Physics, Specialist, Chem.
2011- Bachelor of Commerce/Aerospace Engineering - Monash


"The day i stop learning, is the day i walk away from the game" Michael Jordan.

vea

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1099
  • Respect: +29
  • School Grad Year: 2011
Re: Convert (-2)+ 2√3 i to polar form?
« Reply #4 on: October 28, 2010, 05:14:06 pm »
0
If you picture it, the point is in the 2nd quadrant (-2,2root3)

so tan(angle)=2root3/-2

=-root3

so angle=2pi/3 (because tan is negative in the 2nd quadrant)
2011: ATAR 99.50
2012: Bachelor of Biomedicine, UoM
2015: Doctor of Dental Surgery, UoM

jasoN-

  • Victorian
  • Forum Leader
  • ****
  • Posts: 661
  • Respect: +7
  • School: WSC
  • School Grad Year: 2010
Re: Convert (-2)+ 2√3 i to polar form?
« Reply #5 on: October 28, 2010, 05:14:47 pm »
0
is in quadrant 2
ie.


2009-10: Methods (39) - Specialist Maths (36) - Further Maths (50) - Biology (36) - Chemistry (37) - English Language (36) - ATAR: 97.40
2011-2014: B.Pharm @ Monash University
2015+: Life

Yitzi_K

  • Victorian
  • Forum Leader
  • ****
  • Posts: 893
  • Respect: +3
Re: Convert (-2)+ 2√3 i to polar form?
« Reply #6 on: October 28, 2010, 05:15:39 pm »
0
Since Re(z) is negative, and Im(z) is positive, the angle must be in the second quadrant, hence it's 2pi/3.
2009: Legal Studies [41]
2010: English [45], Maths Methods [47], Economics [45], Specialist Maths [41], Accounting [48]

2010 ATAR: 99.60

chickenpop

  • Victorian
  • Trendsetter
  • **
  • Posts: 115
  • Respect: +1
Re: Convert (-2)+ 2√3 i to polar form?
« Reply #7 on: October 28, 2010, 05:48:25 pm »
0
Oh, I feel so silly lol :P Thanks everyone