Relations and Functions

Question

# Write the following complex numbers in polar form and hence, find their modulus and argument.

Here,
Let                                 ...(i)
Equating real and imaginary parts, we get
...(ii)
...(iii)
Squaring and adding (ii) and (iii), we get

r2 =1                  r = 1
From (ii)

From (iii)          (I)
Since,

Putting in (i), we get

Which  is required polar  form  of z.
Hence,