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Convert the given complex number in polar form: i
i
Let r cosθ = 0 and r sin θ = 1
On squaring and adding, we obtain
This is the required polar form.
Find the modulus and the argument of the complex number
On squaring and adding, we obtain
Since both the values of sin θ and cos θ are negative and sinθ and cosθ are negative in III quadrant,
Thus, the modulus and argument of the complex number 
are 2 and
respectively.
Find the modulus and the argument of the complex number
On squaring and adding, we obtain
Thus, the modulus and argument of the complex number 
are 2 and
respectively.
Convert the given complex number in polar form: 1 – i
1 – i
Let r cos θ = 1 and r sin θ = –1
On squaring and adding, we obtain
This is the required polar form.
Convert the given complex number in polar form: – 1 + i
– 1 + i
Let r cos θ = –1 and r sin θ = 1
On squaring and adding, we obtain
It can be written,
This is the required polar form.
Convert the given complex number in polar form: – 1 – i
– 1 – i
Let r cos θ = –1 and r sin θ = –1
On squaring and adding, we obtain
This is the required polar form.
Convert the given complex number in polar form: –3
–3
Let r cos θ = –3 and r sin θ = 0
On squaring and adding, we obtain
This is the required polar form.
Convert the given complex number in polar form: 
Let r cos θ =
and r sin θ = 1
On squaring and adding, we obtain
This is the required polar form.
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