Question

The rectangular coordinates of a point are given. Find polar coordinates of the point, Express in radar (-5.-5) The polar coordinates of the point are Type an ordered pair. Type an exact answer in terms of Use integer or fractions for any numbers in the expression Type the coordinate foron radians between 0 and 2x)

Answer 1

To find the polar coordinates of a point given its rectangular coordinates, use the formulas r = √(x² + y²) and q = arctan(y/x). For the point (-5, -5), the polar coordinates are (5 × √(2), pi/4).

Step-by-step explanation:

To find the polar coordinates of a point given its rectangular coordinates, we use the formulas:

r = √(x² + y²)

q = arctan(y/x)

For the point (-5, -5), the rectangular coordinates are (x, y) = (-5, -5). Using the formulas, we can find the polar coordinates:

r = √((-5)² + (-5)²) = √(50) = 5 × √(2)

q = arctan((-5)/(-5)) = arctan(1) = pi/4

Therefore, the polar coordinates of the point (-5, -5) are (r, q) = (5 × √(2), pi/4).