三角関数の値

典型的な三角関数の値についてテストしましょう。

正しいものを結んでください。

1

\frac{\sqrt{2}}{2}

0

-\frac{\sqrt{2}}{2}

-1

正
解

m1 = Random(1, 3)
g1 = GCD(m1, 4)
m2 = Random(5, 7)
n1: m1 / g1
g2 = GCD(m2, 4)
m3: (-Random[1, 3])
n2: m2 / g2
g3 = GCD(m3, 4)
n3: m3 / g3
d1: 4 / g1
d2: 4 / g2
d3: 4 / g3
A = (-2, 5)
B = (-1, 5)
a = Segment(A, B)
C = (-2, 3)
D = (-1, 3)
b = Segment(C, D)
E = (-2, 1)
F = (-1, 1)
c = Segment(E, F)
G = (-2, -1)
H = (-1, -1)
d = Segment(G, H)
I = (-2, -3)
J = (-1, -3)
e = Segment(I, J)
K = (-2, -5)
L = (-1, -5)
f = Segment(K, L)
M = (1, 5)
N = (1, 3)
O = (1, 1)
P = (1, -1)
text2: "\sin\frac{" + (LaTeX[n1]) + "}{" + (LaTeX[d1]) + "}\pi"
text3: "\cos\frac{" + (LaTeX[n1]) + " }{" + (LaTeX[d1]) + "}\pi"
Q = (1, -3)
text4: "\sin\frac{" + (LaTeX[n2]) + " }{" + (LaTeX[d2]) + " }\pi"
text5: "\cos\frac{ " + (LaTeX[n2]) + "}{" + (LaTeX[d2]) + " }\pi"
text6: "\sin\frac{" + (LaTeX[n3]) + " }{" + (LaTeX[d3]) + " }\pi"
text7: "\cos\frac{" + (LaTeX[n3]) + " }{" + (LaTeX[d3]) + " }\pi"
Sin_1: {4, 5, 4, 3, 2, 1, 2, 3, 4, 5, 4, 3}
Cos_1: {4, 3, 2, 1, 2, 3, 4, 5, 4, 3, 2, 1}
ans1 = Element(Sin_1, m1 + 4)
ans2 = Element(Cos_1, m1 + 4)
ans3 = Element(Sin_1, m2 + 4)
ans4 = Element(Cos_1, m2 + 4)
ans5 = Element(Sin_1, m3 + 4)
ans6 = Element(Cos_1, m3 + 4)
Y: {y(M), y(N), y(O), y(P), y(Q)}
a1: x(B) ≟ x(M) ∧ y(B) ≟ Element[Y, ans1]
a2: x(D) ≟ x(M) ∧ y(D) ≟ Element[Y, ans2]
a3: x(F) ≟ x(M) ∧ y(F) ≟ Element[Y, ans3]
a4: x(H) ≟ x(M) ∧ y(H) ≟ Element[Y, ans4]
a5: x(J) ≟ x(M) ∧ y(J) ≟ Element[Y, ans5]
a6: x(L) ≟ x(M) ∧ y(L) ≟ Element[Y, ans6]
answer: a1 ∧ a2 ∧ a3 ∧ a4 ∧ a5 ∧ a6