csc(θ)= 3/2

解答

csc (θ) = \frac{3}{2}

θ = 0.72972 \dots + 2 πn, θ = π - 0.72972 \dots + 2 πn

度数

θ = 41.81031 \dots^{\circ} + 36 0^{\circ} n, θ = 138.18968 \dots^{\circ} + 36 0^{\circ} n

求解步骤

csc (θ) = \frac{3}{2}

使用反三角函数性质

csc (θ) = \frac{3}{2}

csc (θ) = \frac{3}{2}

的通解

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

θ = arccsc (\frac{3}{2}) + 2 πn, θ = π - arccsc (\frac{3}{2}) + 2 πn

θ = arccsc (\frac{3}{2}) + 2 πn, θ = π - arccsc (\frac{3}{2}) + 2 πn

以小数形式表示解

θ = 0.72972 \dots + 2 πn, θ = π - 0.72972 \dots + 2 πn

\frac{cos ( θ )}{sin ( θ )} = - 1

cos (B) = \frac{12}{13}

sin (θ) = \frac{2}{9}, θ, 3 r (θ, d) d, tan (2 θ)

sin (\frac{x}{2}) = 0, 0 \leq x \leq 2 π

sin (11 0^{\circ} - \frac{x}{2}) = - sin (7 0^{\circ})