csc(θ)= 4/3

Lösung

csc (θ) = \frac{4}{3}

θ = 0.84806 \dots + 2 πn, θ = π - 0.84806 \dots + 2 πn

Grad

θ = 48.59037 \dots^{\circ} + 36 0^{\circ} n, θ = 131.40962 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

csc (θ) = \frac{4}{3}

Wende die Eigenschaften der Trigonometrie an

csc (θ) = \frac{4}{3}

Allgemeine Lösung für

csc (θ) = \frac{4}{3}

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

θ = arccsc (\frac{4}{3}) + 2 πn, θ = π - arccsc (\frac{4}{3}) + 2 πn

θ = arccsc (\frac{4}{3}) + 2 πn, θ = π - arccsc (\frac{4}{3}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.84806 \dots + 2 πn, θ = π - 0.84806 \dots + 2 πn

3 + 3 sin (θ) = 9 sin (θ)

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

5 sin (3 x) = - 2

cos^{2} (x) - 1 = 0, 0 \leq x < 2 π

tan^{2} (x) + 1 = 2 \cdot tan (x)