Theory of Horology

Theory of Horology


Section 5 Mathematical Formulas

5-1 Trigonometric Function

5-1-1 Conversion between both of the Trigonometric Functions

$ $$sin\theta$$cos\theta$$tan\theta$
$sin\theta$$sin\theta$$\pm\sqrt{1-cos^2\theta}$ $\pm\frac{tan\theta}{\sqrt{1+tan^2\theta}}$
$cos\theta$$\pm\sqrt{1-sin^2\theta}$$cos\theta$ $\pm\frac{1}{\sqrt{1+tan^2\theta}}$
$tan\theta$$\pm\frac{sin\theta}{\sqrt{1-sin^2\theta}}$$\pm\frac{\sqrt{1-cos^2\theta}}{cos\theta}$$tan\theta$