csc(θ)=-5/4

Lösung

csc (θ) = - \frac{5}{4}

θ = - 0.92729 \dots + 2 πn, θ = π + 0.92729 \dots + 2 πn

Grad

θ = - 53.13010 \dots^{\circ} + 36 0^{\circ} n, θ = 233.13010 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

csc (θ) = - \frac{5}{4}

Wende die Eigenschaften der Trigonometrie an

csc (θ) = - \frac{5}{4}

Allgemeine Lösung für

csc (θ) = - \frac{5}{4}

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

θ = arccsc (- \frac{5}{4}) + 2 πn, θ = π + arccsc (\frac{5}{4}) + 2 πn

θ = arccsc (- \frac{5}{4}) + 2 πn, θ = π + arccsc (\frac{5}{4}) + 2 πn

Zeige Lösungen in Dezimalform

θ = - 0.92729 \dots + 2 πn, θ = π + 0.92729 \dots + 2 πn

2 - sec^{2} (x) = 0

4 sin (θ) - 22 = 0

sec (θ) = \frac{2}{3}

3 cos (2 θ) - 5 sin (θ) - 9 = - 5

tan (x) = 1, 0 \leq x \leq 2 π