Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Value of √i please explain step by step plzzzzzzzzzzzzzzzzzzzzzzzzz

Value of √i please explain step by step plzzzzzzzzzzzzzzzzzzzzzzzzz
 

Grade:

3 Answers

Vikas TU
14149 Points
2 years ago
i = Cosπ/2 +i Sinπ/2 
-i = Cos (-π/2) + i Sin(-π/2) 
-i = e^ -iπ/2 
sqrt(-i) = + or - (Cos(-π/4) + i Sin(-π/4)
= (1-i)/sqrt(2)  
Aditya Gupta
2080 Points
2 years ago
note that i= e^i(pi/2)
now root i= i^(1/2)
= [e^i(pi/2)]^(1/2)
use de moivres theorem
= e^i(pi/4) or e^i(pi/4 + pi)
= (1+i)/root2 or – (1+i)/root2 
kindly approve :=)
Arun
25763 Points
2 years ago
√ ( √ -1 ) 

= √ ( √ -1 ) 

= ⁴√ -1 

= (⁴√ -1 )
 
hope it helps
In case of any difficulty, please feel free to qsk again
 
Regards
Arun

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free