I have the value θ with range [0, 360] of the object rotating about the y-axis pictured below. Given a certain radius r I want to calculate the position p of the object on the x, z plane.
EDIT: Yes, I know I can use sine and cosine to figure out the problem if the axis was on the same orientation as the plane I want to find the position in, but I'm not sure how to do it if the axis is projecting outwards.
EDIT 2: I'm hella dumb, sorry. I just realized the angle between r and x is θ and I can just use sine and cosine. It's been a long day.
$\begin{bmatrix} x'\\ y'\\ \end{bmatrix} = \begin{bmatrix} cos(\theta) & sin(\theta)\\ -sin(\theta) & cos(\theta)\\ \end{bmatrix} \cdot \begin{bmatrix} x\\ y\\ \end{bmatrix}$
Multiplying a vector with a rotationmatrix will give you the position after a rotation with an angle $\theta$.