cos(θ)=(-1)/3

Lösung

cos (θ) = \frac{- 1}{3}

θ = 1.91063 \dots + 2 πn, θ = - 1.91063 \dots + 2 πn

Grad

θ = 109.47122 \dots^{\circ} + 36 0^{\circ} n, θ = - 109.47122 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{- 1}{3}

Wende Bruchregel an:

\frac{- a}{b} = - \frac{a}{b}

cos (θ) = - \frac{1}{3}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = - \frac{1}{3}

Allgemeine Lösung für

cos (θ) = - \frac{1}{3}

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

θ = arccos (- \frac{1}{3}) + 2 πn, θ = - arccos (- \frac{1}{3}) + 2 πn

θ = arccos (- \frac{1}{3}) + 2 πn, θ = - arccos (- \frac{1}{3}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.91063 \dots + 2 πn, θ = - 1.91063 \dots + 2 πn

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8 sin^{2} (x) - 3 sin (x) - 2 = 0

6 sin (x) + 12 = 15

cot^{2} (x) cos (x) = cos (x)

1 + 2 cos (x) + cos^{2} (x) = 3 sin^{2} (x)