Question

A point is rotated about the origin it’s coordinates are p (-4 10 )

Answer 1

To rotate a point around the origin in a 2D coordinate system, you can use the following formulas based on the angle \( \theta \) (in degrees or radians):

For a rotation by an angle \( \theta \):
- The new x-coordinate \( x' \) is calculated as:
\[
x' = x \cos(\theta) - y \sin(\theta)
\]
- The new y-coordinate \( y' \) is calculated as:
\[
y' = x \sin(\theta) + y \cos(\theta)
\]

Given the point \( p(-4, 10) \), you need to specify an angle of rotation \( \theta \) to compute the new coordinates after the rotation. Please provide the angle of rotation you'd like to apply!