Step 1: In a cyclic process, the system returns to its initial state, which implies that the change in internal energy is zero: \[ \Delta U = 0. \] Step 2: According to the First Law of Thermodynamics: \[ Q = \Delta U + W. \] Since \( \Delta U = 0 \), this simplifies to: \[ Q = W. \]
Explain the construction of a spherical wavefront by using Huygens' principle.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.