Question

vii) (1+i)^-3 state the value of a and b​

Answer 1

Answer:

a=b= -1/4

Step-by-step explanation:

For solution observe my attachment.

Excuse me if I have made any mistake.

Answer 2

Please refer the attached solution

I have done question with two methods

First Method: Euler Form

Seems to be pretty long here bit is in course of IIT and very helpful in doing evaluation of big powers (like (1 + i)⁵ which can't be solved by expansion). This method is also known as cis theta.

Second Method: Usual/Normal Method

Here seems to be an easier method (but in case of large powers becomes night mare as like example I gave above). This is normal method as per your reference books & NCERT.

Go for anyone as per your convenience!

Answers

a = - ¼ and b = - ¼