csc(θ)=1.9

解答

csc (θ) = 1.9

θ = 0.55426 \dots + 2 πn, θ = π - 0.55426 \dots + 2 πn

度数

θ = 31.75686 \dots^{\circ} + 36 0^{\circ} n, θ = 148.24313 \dots^{\circ} + 36 0^{\circ} n

求解步骤

csc (θ) = 1.9

使用反三角函数性质

csc (θ) = 1.9

csc (θ) = 1.9

的通解

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

θ = arccsc (1.9) + 2 πn, θ = π - arccsc (1.9) + 2 πn

θ = arccsc (1.9) + 2 πn, θ = π - arccsc (1.9) + 2 πn

以小数形式表示解

θ = 0.55426 \dots + 2 πn, θ = π - 0.55426 \dots + 2 πn

cos (x - \frac{π}{4}) = \frac{3}{2}

cos (x) tan (x) - cos (x) = 0, 0 \leq x \leq 2 π

sin^{2} (2 θ) - 5 sin (2 θ) - 1 = 0

- \frac{π}{30} sin (\frac{π}{90} (x + 20)) = 0

sin (2 x) = - \frac{1}{2}