## Trigonometry (11th Edition) Clone

$L(x) = 0.022x^2+0.55x+316+3.5~sin~2\pi x$ The seasonal maximum occurs when $sin~2\pi x = 1$: $sin~2\pi x = 1$ $2\pi x = \frac{\pi}{2}+2\pi~n$ $x = \frac{1}{4}+n$ $x = \frac{3}{12}+n$ The seasonal maximum occurs at the end of the third month each year. The seasonal maximum occurs around the end of March each year. The seasonal minimum occurs when $sin~2\pi x = -1$: $sin~2\pi x = -1$ $2\pi x = \frac{3\pi}{2}+2\pi~n$ $x = \frac{3}{4}+n$ $x = \frac{9}{12}+n$ The seasonal minimum occurs at the end of the ninth month each year. The seasonal minimum occurs around the end of September each year.