Deriving Formulas For Cos Xa±Yb
Deriving formulas for cos (xA±yB)
graph TB
A[Deriving formulas for cos (xA±yB)]
A --> B[Trigonometric identities]
B --> C1[cos(x) cos(y) - sin(x) sin(y) = cos(x+y)]
B --> C2[cos(x) cos(y) + sin(x) sin(y) = cos(x-y)]
A --> D[Complex numbers]
D --> E1[e^(ix) = cos(x) + i sin(x)]
D --> E2[e^(-ix) = cos(x) - i sin(x)]
A --> F[Matrix representation]
F --> G1[cos(x) = (e^(ix) + e^(-ix)) / 2]
F --> G2[sin(x) = (e^(ix) - e^(-ix)) / 2i]
