sin(α+β)

סינוס סכום הזוויות

α

β

β

β

β

α

β

cosα sinβ

sinα cosβ

סינוס סכום זוויות

β

α

β

α = 0.8203047484373349 rad (slider from 0 to 90*°, step 0.017453292519943295)
β = 0.9948376736367678 rad (slider from 0 to 90*°, step 0.017453292519943295)
A = (3.2, 0)
B = (5.4, 0)
a = Line(A, B)
M = Point(a)
M' = Rotate(M, 90° - β, B)
n = Ray(B, M')
m = OrthogonalLine(B, a)
p = Circle(B, 1)
N = Intersect(p, n, 1)
d_2 = Circle(N, cos(α))
q = OrthogonalLine(N, a)
Z = Intersect(d_2, q, 2)
l_1 = OrthogonalLine(Z, q)
A_1 = Intersect(m, l_1)
r = OrthogonalLine(N, m)
P = Intersect(m, r)
q_1 = Circle(P, sin(α))
B_1, C_1 = Intersect(q_1, r)
B' = Rotate(B, α, A)
γ = Angle(B, A, B')
b = Ray(A, B')
c = Circle(A, 1)
C = Intersect(c, b, 1)
d = OrthogonalLine(C, a)
D = Intersect(a, d)
poly1, a_1, c_1, d_1 = Polygon(C, D, A)
E = Point(a)
E' = Rotate(E, -β, A)
δ = Angle(E', A, E)
e = Ray(A, E')
F = Intersect(c, e, 1)
f = OrthogonalLine(F, a)
G = Intersect(a, f)
poly2, g, a_2, f_1 = Polygon(A, F, G)
H = Point(d)
I = Point(f)
k = Circle(C, 1)
H' = Rotate(H, 90° - β, C)
ε = Angle(H, C, H')
h = Ray(C, H')
J = Intersect(k, h, 1)
i = OrthogonalLine(J, d)
K = Intersect(d, i)
poly3, j, k_1, c_2 = Polygon(K, C, J)
L = Intersect(f, i)
poly4, l, j_1, f_2 = Polygon(J, F, L)
ζ = Angle(M, B, M')
O = Intersect(a, q)
poly5, b_1, n_1, o = Polygon(N, O, B)
poly6, p_1, n_2, b_2 = Polygon(N, B, P)
Q = Intersect(i, m)
s = Circle(Q, 1)
T = Intersect(i, q)
poly9, m_1, t_1, e_2, g_2 = Polygon(A_1, P, N, Z)
poly11, c_3, j_2, f_3, a_3 = Polygon(C, J, F, A)
η = Angle(G, F, A)
θ = Angle(L, J, F)
ι = Angle(N, B, P)
e_1 = OrthogonalLine(J, g)
V = Intersect(e_1, g)
g_1 = Segment(J, V)
h_1 = OrthogonalLine(F, k_1)
W = Intersect(h_1, k_1)
i_1 = Segment(W, F)
κ = Angle(C, J, K)
poly7, t, r_1, s_1 = Polygon(A_1, P, C_1)
h_2 = OrthogonalLine(C_1, r)
R = Intersect(l_1, h_2)
poly8, r_2, a_4, c_4 = Polygon(A_1, C_1, R)
S = Intersect(a, h_2)
poly10, p_2, b_3, s_2, c_5 = Polygon(P, B, S, C_1)
λ = Angle(C_1, A_1, P)
J' = Rotate(J, -β, F)
μ = Angle(J', F, J)
ν = Angle(A, F, J')
U = Midpoint(J, A)
D_1 = Midpoint(Z, P)
E_1 = Midpoint(P, S)