csc(θ)=2sqrt(3)

Lösung

csc (θ) = 23

θ = 0.29284 \dots + 2 πn, θ = π - 0.29284 \dots + 2 πn

Grad

θ = 16.77865 \dots^{\circ} + 36 0^{\circ} n, θ = 163.22134 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

csc (θ) = 23

Wende die Eigenschaften der Trigonometrie an

csc (θ) = 23

Allgemeine Lösung für

csc (θ) = 23

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

θ = arccsc (23) + 2 πn, θ = π - arccsc (23) + 2 πn

θ = arccsc (23) + 2 πn, θ = π - arccsc (23) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.29284 \dots + 2 πn, θ = π - 0.29284 \dots + 2 πn

2 csc^{2} (x) + 5 cot (x) = 5

(1 + tan (x)) (5 sin (x) - 2) = 0

arccos (e - x) = π^{3}

sin (a) = \frac{20}{25}

1 + cos (x) = 3 - sin (x)