csc(θ)=-8/5

Lösung

csc (θ) = - \frac{8}{5}

θ = - 0.67513 \dots + 2 πn, θ = π + 0.67513 \dots + 2 πn

Grad

θ = - 38.68218 \dots^{\circ} + 36 0^{\circ} n, θ = 218.68218 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

csc (θ) = - \frac{8}{5}

Wende die Eigenschaften der Trigonometrie an

csc (θ) = - \frac{8}{5}

Allgemeine Lösung für

csc (θ) = - \frac{8}{5}

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

θ = arccsc (- \frac{8}{5}) + 2 πn, θ = π + arccsc (\frac{8}{5}) + 2 πn

θ = arccsc (- \frac{8}{5}) + 2 πn, θ = π + arccsc (\frac{8}{5}) + 2 πn

Zeige Lösungen in Dezimalform

θ = - 0.67513 \dots + 2 πn, θ = π + 0.67513 \dots + 2 πn

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

11 - sin (x) = cos (2 x)

so l v e f or x, 1 + cos (x) = 3 cos (x)

\frac{1}{cos ( x )} = 4

sin (θ) = - 0.15