A vector quantity $V$ is split into two perpendicular components $X$ and $Y$. The angle between $V$ and component $X$ is $\theta$. The angle between component $X$ and the vector $V$ is then increased from $0^{\circ}$ to $90^{\circ}$. How do the magnitudes of $X$ and $Y$ vary as the angle $\theta$ is increased in this way?
Physics 9702 · AS & A Level · Scalars and vectors