Question

Write the polar form of 1+i

Answer 1

Step-by-step explanation:

complex number

a

+

i

b

in polar form is written as

r

cos

θ

+

i

r

sin

θ

,

cos

θ

=

a

r

and

sin

θ

=

b

r

Hence

r

=

√

a

2

+

b

2

As in

−

1

+

i

a

=

−

1

and

b

=

1

r

=

√

(

−

1

)

2

+

1

2

=

√

2

and hence

cos

θ

=

−

1

√

2

and

sin

θ

=

1

√

2

Hence,

θ

=

3

π

4

and

Polar form of

−

1

+

i

is

(

√

2

,

3

π

4

)

Answer 2

Answer:

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