MHT CET2012MathematicsComplex Number
The real part of the principle value of 2^ -i is
Options
- A( 2)
- B( 1 2 )
- C[ ( 1 2 ) ]
- D( 2)
Correct answer
C. [ ( 1 2 ) ]
Step-by-step solution
Let z=2^ -i Taking on both sides, we get aligned & z= (2^ -i ) & z=-i 2 & z=i ( 1 2 ) & z=e^ i (1 / 2) ( e^ i = +i ) & z= ( 1 2 )+i ( 1 2 ) The real part of z=2^ -i is ( 1 2 ) aligned