Find a pair of polar coordinates for the point with rectangular coordinates (5, –5).

(

r

,

θ

)

are the polar coordinates.

Then the equations of tranformation are

x

=

r

cos

θ

y

=

r

sin

θ

r

2

=

x

2

+

y

2

Here we have

(

x

,

y

)

=

(

−

5

,

−

5

)

So

−

5

=

r

cos

θ

and

−

5

=

r

sin

θ

Therefore, we are in the 3rd quadrant

tan

θ

=

1

;

θ

=

5

π

4

And

r

2

=

(

−

5

)

2

+

(

−

5

)

2

=

50

so

r

=

√

50

=

5

√

2

Answer link

3/6   and 9/18

step-by-step explanation:

ou would have 12 of each