csc(θ)=11

解答

csc (θ) = 11

θ = 0.09103 \dots + 2 πn, θ = π - 0.09103 \dots + 2 πn

度数

θ = 5.21590 \dots^{\circ} + 36 0^{\circ} n, θ = 174.78409 \dots^{\circ} + 36 0^{\circ} n

求解步骤

csc (θ) = 11

使用反三角函数性质

csc (θ) = 11

csc (θ) = 11

的通解

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

θ = arccsc (11) + 2 πn, θ = π - arccsc (11) + 2 πn

θ = arccsc (11) + 2 πn, θ = π - arccsc (11) + 2 πn

以小数形式表示解

θ = 0.09103 \dots + 2 πn, θ = π - 0.09103 \dots + 2 πn

4 sin^{4} (θ) - 7 sin^{2} (θ) + 3 = 0

cos (v) = - 0.995

5 sin (X) - 2 = 2 sin (X)

cos^{2} (2 x) + 3 sin (2 x) = 3

- 2 cos^{2} (θ) - 4 sin (θ) + 2 = - 5 sin (θ)