Deriving Formulas For Cos Xa±Yb
Deriving formulas for cos (xA±yB)
graph TB;
A["Deriving formulas for cos (xA±yB)"];
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"];
BETA
