Given the rectangular coordinates (2,-2), which of the following polar coordinate pairs, in radians, represent the same point?

Given the rectangular coordinates 22 which of the following polar coordinate pairs in radians represent the same point class=

Respuesta :

I think number 1,
not very sure

Answer A

Using Polar Coordinates we mark a point by how far away, and what angle it is.

To find polar co ordinates, When we know a point in Cartesian Coordinates (x,y) and we want it in Polar Coordinates (r,θ) we solve a right triangle with two known sides(2,-2)

using Pythagoras theorem,

base^2 + altitude ^ 2 = hypotenuse ^2

2^2 +(-2)^2 = hypotenuse

Hypotenuse = 2√2

to find angle we can use tan(angle) = altitude / base = (-2/2) = -1

so angle can be 3π/4 or 7π/4

as per the given options,

answer is 2√2,7π/4