Theory of Horology

Theory of Horology


Section 5 Mathematical Formulas

5-1 Trigonometric Function

5-1-3 Movement & Periodicity

movement of $\pi/2$movement of $\pi$movement of $2\pi$
$sin(\theta+\frac{\pi}{2})=+cos\theta$$sin(\theta+\pi)=-sin\theta$$sin(\theta+2\pi)=+sin\theta$
$cos(\theta+\frac{\pi}{2})=-sin\theta$$cos(\theta+\pi)=-cos\theta$$cos(\theta+2\pi)=+cos\theta$
$tan(\theta+\frac{\pi}{2})=-cot\theta$$tan(\theta+\pi)=+tan\theta$$tan(\theta+2\pi)=+tan\theta$