If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Understanding rotation of arbitrary points

Problem

The distance between point P and the origin, O, is r units. The line OP forms an angle of ϕ with the x-axis.
Point P is the result of rotating point P, θ degrees counter-clockwise around the origin.
The line AP forms a right angle with line OP.
If point P is at (x,y), y is equal to the length of which line segment?
Choose 1 answer: