Theor of Horology

Theory of Horology


Section 5 Mathematical Formulas

5-1 Trigonometric Function

5-1-7 Sum of Products Formula

$cos\theta \;cos\phi=\frac{cos(\theta-\phi)+cos(\theta+\phi)}{2}$
$sin\theta \;sin\phi =\frac{cos(\theta-\phi)-cos(\theta+\phi)}{2}$
$sin\theta \;cos\phi=\frac{sin(\theta+\phi)+sin(\theta-\phi)}{2}$
$cos\theta \;sin\phi=\frac{sin(\theta+\phi)-sin(\theta-\phi)}{2}$