What is the new point when you rotate a geometric figure with .58, 270° counterclockwise about the origin

Answer 1

To rotate a point (x, y) counterclockwise about the origin by an angle θ, the new coordinates (x', y') can be found using the following formulas:

x' = x * cos(θ) - y * sin(θ)
y' = x * sin(θ) + y * cos(θ)

In this case, we rotate the point (0.58, 0) counterclockwise by 270°.

Using the formulas, we can calculate the new coordinates:

x' = 0.58 * cos(270°) - 0 * sin(270°)
= 0.58 * 0 - 0
= 0

y' = 0.58 * sin(270°) + 0 * cos(270°)
= 0.58 * (-1) + 0
= -0.58

Therefore, after rotating the point (0.58, 0) counterclockwise by 270° about the origin, the new point is (0, -0.58).