The polar coordinates (2, π/3) can be converted to rectangular coordinates as (1, √3), representing a point on the Cartesian plane with x-coordinate 1 and y-coordinate √3.
The point (2, π/3) is given in polar coordinates, where 2 represents the distance from the origin (r) and π/3 represents the angle (θ) measured in radians. To convert this point to rectangular coordinates (x, y), we can use the polar-to-rectangular conversion formulas:
x = r * cos(θ)
y = r * sin(θ)
For the given point (2, π/3):
x = 2 * cos(π/3)
y = 2 * sin(π/3)
Evaluating the trigonometric functions:
x = 2 * (1/2) = 1
y = 2 * (√3/2) = √3
So, in rectangular coordinates, the point (2, π/3) is equivalent to (1, √3), representing a point on the Cartesian plane with x-coordinate 1 and y-coordinate √3.