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 $x^{\prime }$ is calculated as: $$x^{\prime }=x\cos (\theta )-y\sin (\theta )$$
• The new y-coordinate $y^{\prime }$ is calculated as: $$y^{\prime }=x\sin (\theta )+y\cos (\theta )$$

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!