Home » Ask & Discuss » Mathematics. » Algebra « Back to Discussion



Algebra

Naveen kumar's Avatar
Cool goIITian

Joined: 27 Jul 2008
Post: 41
31 Aug 2008 23:19:17 IST
0 People liked this
6
645 View Post
Solve this: 1^i = ? and e^i =?
None

Solve this: 1^i = ? and e^i =?


Share this article on:

Comments (6)

Priyesh's Avatar

Blazing goIITian

Joined: 18 Feb 2007
Posts: 1042
1 Sep 2008 00:04:22 IST
0 people liked this

1^i = e^[(i^2)*0)]=e^-0 = 1


e^i = cos1 + isin1 

sankar's Avatar

Scorching goIITian

Joined: 9 Jun 2008
Posts: 223
1 Sep 2008 00:10:51 IST
0 people liked this

1^i=1;

e^i=cos1+isin1;


y=1^i=>logy=ilog1=>logy=0;

Naveen kumar's Avatar

Cool goIITian

Joined: 27 Jul 2008
Posts: 41
1 Sep 2008 00:22:33 IST
0 people liked this

If 1^i=1 then i=infinity but i=(-1)^1/2

New kid on the Block

Joined: 1 Sep 2008
Posts: 13
1 Sep 2008 13:37:24 IST
0 people liked this

1^i=1;

e^i=cos1+isin1;



y=1^i=>logy=ilog1=>logy=0;

New kid on the Block

Joined: 1 Sep 2008
Posts: 1
1 Sep 2008 17:19:46 IST
1 people liked this

1^i= {cos(2pie)+isin(2pie)}^i=(e^i(pie))^i=e^-2pie
ganapathi  1810's Avatar

Hot goIITian

Joined: 28 Aug 2008
Posts: 162
1 Sep 2008 19:35:09 IST
1 people liked this

1=>e power i 2pie


1^i=>e power i^2 2pie


    => e power (-2pie)


 


 


e^i => cos1+i sin1


where 1=180degrees\pie=> 180*7\22 degrees




Quick Reply


Reply

Some HTML allowed.
Keep your comments above the belt or risk having them deleted.
Signup for a avatar to have your pictures show up by your comment
If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team
Free Sign Up!

Preparing for IIT-JEE ?

Arihant Revision Package for IIT JEE - Books, Practice Tests + Rank Predictor


@ INR 1,995/-

For Quick Info

Name

Mobile No.

Find Posts by Topics

Physics.

Topics

Mathematics.

Chemistry.

Biology

Parents

Board

Fun Zone

Sponsored Ads