Tablas trigonométricas

Referencia: Leon W Couch Apéndice p653

$cos(x \pm y)= cos(x)cos(y) \mp sen(x)sen(y)$ $sen(x \pm y) = sen(x)cos(y) \pm cos(x) sen(y)$ $cos\left( x \pm \frac{\pi}{2}\right) = \mp sen(x)$ $sen\left( x \pm \frac{\pi}{2}\right) = \pm cos(x)$ $cos(2x)= cos^2 (x)- sen^2(x)$ $sen(2x)= 2sen(x)cos(x)$ $2 cos(x)cos(y) = cos(x-y) + cos(x+y)$ $2 sen(x)sen(y) = cos(x-y) - cos(x+y)$ $2 sen(x)cos(y) = sen(x-y) + sen(x+y)$ $2 cos^2(x) = 1 + cos(2x)$ $2 sen^2(x) = 1 - cos(2x)$ $4 cos^3(x) = 3cos(x) + cos(3x)$ $4 sen^3(x) = 3sen(x) + sen(3x)$ $8 cos^4(x) = 3 + 4cos(2x) + cos(4x)$ $8 sen^4(x) = 3 - 4cos(2x) + cos(4x)$

con magnitud R y fase Θ

$R cos(x + \theta) = A cos(x) - B sen(x)$

donde

$R = \sqrt{A^2+B^2}$ $\theta = tan^{-1}(\frac{B}{A})$ $A = R cos(\theta)$ $B = R sen(\theta)$