Respuesta :

Answer:

1) (9, 75+360n)

2) (−9, 255+360n)

Step-by-step explanation:

(9, 75) is same as (9, 75 + 360)

so it would be (9, 435)

It can also be expressed as (-9, 75 + 180 degrees)

so (-9,255) degrees

In general, (9,75+360 n) for n≥0 represents half of the possible ways of representing the point : (9,75)  

All the polar coordinates of point p = (9, 75°) are p(2.329, 8.693), p(-2.392, 8.693), p(-2.392, -8.693) and p(2.392, -8.693).

What is coordinate?

Coordinate is basically point on a surface which shows the position of point on the surface. It is like (x,y) in which x is the point on x axis and y is the point on y axis?

How to find coordinates?

We know that x coordinate is r cosΘ and y=r sin Θ. and we have to first find the x coordinates and y coordinates.

The polar coordinates of point p:

1. p(9cos75, 9sin75) = p(2.329, 8.693)

2. p(9cos(180i - 75), 9sin(180 - 75)) = p(-2.392, 8.693)

3. p(9(cos(180 + 75), 9sin(180 + 75)) = p(-2.392, -8.693)

4. p(9cos(360 - 75), 9sin(360 - 75)) = p(2.392, -8.693)

Hence all the polar coordinates of point p = (9, 75°) are p(2.329, 8.693), p(-2.392, 8.693), p(-2.392, -8.693) and p(2.392, -8.693).

Learn more about coordinates at https://brainly.com/question/17206319

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