Question

Find all polar coordinates of point P where P = (3, -π/4)

Answer 1

To find the polar coordinates of a point with given Cartesian coordinates (x, y), use the formulas: r = √(x² + y²) and θ = arctan(y/x). Apply these formulas to find the polar coordinates of point P = (3, -π/4).

Step-by-step explanation:

To find the polar coordinates of a point P in the form (r, θ), we can use the given Cartesian coordinates (x, y) of P and use the formulas:

r = √(x² + y²)

θ = arctan(y/x)

For the point P = (3, -π/4), we have:

r = √(3² + (-π/4)²) = √(9 + (π/16))

θ = arctan((-π/4)/3) = arctan(-π/12)

Therefore, the polar coordinates of P are (√(9 + (π/16)), arctan(-π/12)).