csc(θ)=3

Lösung

csc (θ) = 3

θ = 0.33983 \dots + 2 πn, θ = π - 0.33983 \dots + 2 πn

Grad

θ = 19.47122 \dots^{\circ} + 36 0^{\circ} n, θ = 160.52877 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

csc (θ) = 3

Wende die Eigenschaften der Trigonometrie an

csc (θ) = 3

Allgemeine Lösung für

csc (θ) = 3

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

θ = arccsc (3) + 2 πn, θ = π - arccsc (3) + 2 πn

θ = arccsc (3) + 2 πn, θ = π - arccsc (3) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.33983 \dots + 2 πn, θ = π - 0.33983 \dots + 2 πn

4 sec (θ) = - 5 - tan^{2} (θ)

cos (2 x) = 1 - 3 sin (x)

3 sin (2 t) + 4 = 1, - \frac{π}{2} \leq t \leq \frac{π}{2}

2 cos (x) + sin (x) = 1

5 sin (x) = 5 sin (2 x)