Question

Convert the point (-4, 1) which is in Cartesian coordinates into polar coordinates.

-(-3.2, -2.8)
-(-2.6, 0.6)
-(1.1, -3.2)
-(2.4, 1.8)
-(4.1, 2.9)

Answer 1

To convert a point from Cartesian coordinates to polar coordinates, use the formulas r = sqrt(x^2 + y^2) and θ = arctan(y / x).

Step-by-step explanation:

To convert a point from Cartesian coordinates to polar coordinates, we can use the following formulas:

r = sqrt(x^2 + y^2)

θ = arctan(y / x)

For the point (-4, 1), substituting the values into the formulas, we get:

r = sqrt((-4)^2 + 1^2) = sqrt(17)

θ = arctan(1 / -4) = -14.04°

Therefore, the polar coordinates are (√17, -14.04°).