Vzorec pro sinus a kosinus součtu

1

$1$

$\sin(\alpha+\beta)$

$\cos (\alpha + \beta)$

$\sin\beta$

$\cos\beta$

α

$\sin\alpha\cdot\sin\beta$

$\cos\alpha\cdot\sin\beta$

$\sin\alpha\cdot\cos\beta$

$\cos\alpha\cdot\cos\beta$

\ovalbox{\sin(\alpha+\beta)=\sin\alpha\cos\beta+
\cos\alpha\sin\beta
}

\ovalbox{\cos(\alpha+\beta)=
\cos\alpha\cos\beta
-
\sin\alpha\sin\beta
}

c = Circle((0, 0), 1)
O = (0, 0)
A_{1} = Intersect(c, b, 2)
B_{1} = Intersect(c, a, 1)
A = Point(c)
d = Segment(O, A)
α = Angle(A_{1}, O, A)
B = Point(c)
e = Segment(O, B)
β = Angle(A, O, B)
f = OrthogonalLine(B, b)
C = Intersect(b, f)
g = Segment(C, B)
γ = Angle(B, C, O)
D: (0, y(B))
k = Segment(D, B)
θ = Angle(O, D, B)
q = Segment(D, O)
i = Segment(D, B)
l = OrthogonalLine(B, d)
E = Intersect(l, d)
m = Segment(B, E)
ζ = Angle(B, E, O)
r = Segment(B, E)
f_1 = Segment(O, E)
δ = Angle(C, B, E)
n = OrthogonalLine(E, g)
F = Intersect(n, g)
p = Segment(F, E)
η = Angle(E, F, B)
s = Segment(F, E)
t = Segment(B, F)
j = OrthogonalLine(E, b)
G = Intersect(b, j)
g_1 = Segment(E, G)
ε = Angle(E, G, O)
h = Segment(G, E)
h_1 = Segment(O, G)