1800-150-456-789
FlagBACK
Flag IIT JEE Entrance Exam> If w is a non real imaginary cube root of...
question mark

If w is a non real imaginary cube root of unity ,then find argument(iw)+arg(iw^2)

Ved , 6 Years ago
Grade 12th pass
anser 1 Answers
Arun

Last Activity: 6 Years ago

Dear Ved
 
arg(π‘–πœ”)+arg(π‘–πœ”2)=arg π‘’π‘–πœ‹/2.𝑒2π‘–πœ‹/3+arg π‘’π‘–πœ‹/2.𝑒4π‘–πœ‹/3
=arg 𝑒7π‘–πœ‹/6+arg 𝑒11π‘–πœ‹/6
=(7πœ‹/6βˆ’2πœ‹)+(11πœ‹/6βˆ’2πœ‹)
[as the argument should be in the principal range]
=3πœ‹βˆ’4πœ‹=βˆ’πœ‹
 
Regards
Arun(askIITians forum expert)

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on IIT JEE Entrance Exam

question mark
My rank is 29k, General, should I opt for any state college cse branch or some Nits in which in which I am getting ECE , chemical, mechanics etc....
IIT JEE Entrance Exam
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
How is Ranquer Eduzone,comparing, Akash,Fitjee,Resonance,Naryana
IIT JEE Entrance Exam
0 Answer Available

Last Activity: 2 Year ago(s)

question mark
Can class 9th students study syllabus classof 11th
IIT JEE Entrance Exam
3 Answer Available

Last Activity: 2 Year ago(s)

question mark
Sum of series 2[n/2] ! [n/2]!/ n! [2Co-2C2+3C2....+[-1]^n[n+1]2Cn] where n is an even positive integer. Kindly provide solution of this question and how to generalise this. How do we know that which expansion will give this?
IIT JEE Entrance Exam
1 Answer Available

Last Activity: 2 Year ago(s)

question mark
I m foreigner,How much mark i need to get into IIT??
IIT JEE Entrance Exam
1 Answer Available

Last Activity: 2 Year ago(s)