cos(θ)= 2/3

Lösung

cos (θ) = \frac{2}{3}

θ = 0.84106 \dots + 2 πn, θ = 2 π - 0.84106 \dots + 2 πn

Grad

θ = 48.18968 \dots^{\circ} + 36 0^{\circ} n, θ = 311.81031 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{2}{3}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{2}{3}

Allgemeine Lösung für

cos (θ) = \frac{2}{3}

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

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

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

Zeige Lösungen in Dezimalform

θ = 0.84106 \dots + 2 πn, θ = 2 π - 0.84106 \dots + 2 πn

0 = cos (x)

tan (θ) = 3

sin (x) = \frac{5}{13}

2 sin (θ) = 3

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