Relations and Functions

Question

# Convert each of the complex numbers given in the Polar form.-1 + i

Here, z = - 1 + i
Let z = -1 + i =                                          ...(i)
Equating real and imaginary parts,  we get
... (i)
...(iii)
Squaring and adding (ii) and (iii), we get

from (ii),

Since   is + ve and is -ve

Putting in (i), we get

which is the required polar form of z.
Hence.