Theory of Horology

Theory of Horology


Section 5 Mathematical Formulas

5-1 Trigonometric Function

5-1-4 Additional Theorem

$sin$$sin(\alpha \pm \beta)=sin\alpha \;cos \beta \pm cos\alpha \;sin\beta$
$cos$$cos(\alpha \pm \beta)=cos\alpha \;cos\beta \mp sin\alpha \;sin\beta$
$tan$$tan(\alpha \pm \beta)=\frac{tan\alpha \pm tan\beta}{1\mp tan\alpha \;tan\beta}$