Convertir coordenadas cartesianas (rectangulares) a polares |👇👇video actualizado en la descripción👇👇

Converting Cartesian Coordinates to Polar Coordinates

Introduction to the Exercise

• The exercise focuses on converting Cartesian coordinates to polar coordinates, specifically for the point located at (-5, 3) in a Cartesian plane.

• In Cartesian coordinates, the first number corresponds to the x-axis and the second number corresponds to the y-axis.

Understanding Polar Coordinates

• In polar coordinates, 'r' represents the distance from the origin (0, 0) to the point, while 'θ' (theta) is the angle measured from the polar axis (x-axis).

• The angle θ opens from 0 degrees counterclockwise until it reaches line r that extends from point A to origin.

Calculating Distance 'r'

• To find 'r', apply a formula similar to Pythagoras’ theorem: r = sqrtx^2 + y^2 .

• Substituting values: r = sqrt(-5)^2 + (3)^2 = sqrt25 + 9 = sqrt34 approx 5.83 .

Finding Angle 'θ'

• To calculate θ, use tangent function: tan(θ) = y/x = 3/-5 .