csc(A)=1.2384

解答

csc (A) = 1.2384

A = 0.93989 \dots + 2 πn, A = π - 0.93989 \dots + 2 πn

度数

A = 53.85176 \dots^{\circ} + 36 0^{\circ} n, A = 126.14823 \dots^{\circ} + 36 0^{\circ} n

求解步骤

csc (A) = 1.2384

使用反三角函数性质

csc (A) = 1.2384

csc (A) = 1.2384

的通解

csc (x) = a \Rightarrow x = arccsc (a) + 2 πn, x = π - arccsc (a) + 2 πn

A = arccsc (1.2384) + 2 πn, A = π - arccsc (1.2384) + 2 πn

A = arccsc (1.2384) + 2 πn, A = π - arccsc (1.2384) + 2 πn

以小数形式表示解

A = 0.93989 \dots + 2 πn, A = π - 0.93989 \dots + 2 πn

cos (8 t) cos (5 t) = - sin (8 t) sin (5 t)

2 cos (θ) - 3 = - 5, 0 \leq θ < 2 π

2 tan (x) + 1 = 0

2 cos (3 x) + cos (2 x) + 1 = 0, 0 \leq x \leq 2 π

tan^{2} (x) = 3