cos(θ)=-4/9

Lösung

cos (θ) = - \frac{4}{9}

θ = 2.03135 \dots + 2 πn, θ = - 2.03135 \dots + 2 πn

Grad

θ = 116.38779 \dots^{\circ} + 36 0^{\circ} n, θ = - 116.38779 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = - \frac{4}{9}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = - \frac{4}{9}

Allgemeine Lösung für

cos (θ) = - \frac{4}{9}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

θ = arccos (- \frac{4}{9}) + 2 πn, θ = - arccos (- \frac{4}{9}) + 2 πn

θ = arccos (- \frac{4}{9}) + 2 πn, θ = - arccos (- \frac{4}{9}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 2.03135 \dots + 2 πn, θ = - 2.03135 \dots + 2 πn

cos^{2} (x) + 2 cos (x) = sin^{2} (\frac{x}{2}) - 2

2 cos^{2} (x) - 4 cos (x) + 2 = 0

cos^{2} (x) - sin^{2} (x) = 1 - 2 sin (x)

cos (x) = - 0.34

2 sin^{2} (x) = 3 sin (x) - 1