A particle with mass \(m\) and positive charge \(q\) enters a region containing a uniform magnetic field \(\vec{B}\) with speed \(v\) at an angle \(\theta\) (\(0^\circ < \theta < 90^\circ\)) relative to the magnetic field vector, as shown. The magnetic force causes the particle to follow a helical trajectory. Which of the following expressions represents the pitch \(p\) of the helix, defined as the distance the particle moves parallel to the magnetic field in the time it takes to complete one full revolution?