The climax of "Around the World in Eighty Days" is the most thrilling and impactful part of the story. As Phileas Fogg races against time to complete his journey and win the wager, he faces numerous challenges that threaten to delay his return. However, his discovery that he has missed the deadline is compounded by the realization that he has already won—by being late, he has arrived just in time to prevent his rival from claiming victory. This twist highlights the story's themes of fate, time, and the unpredictability of life. The tension and suspense leading to the climax are what make this part of the story particularly captivating.
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 ___________.