cos(θ)=(sqrt(3))/3

Lösung

cos (θ) = \frac{3}{3}

θ = 0.95531 \dots + 2 πn, θ = 2 π - 0.95531 \dots + 2 πn

Grad

θ = 54.73561 \dots^{\circ} + 36 0^{\circ} n, θ = 305.26438 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{3}{3}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{3}{3}

Allgemeine Lösung für

cos (θ) = \frac{3}{3}

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

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

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

Zeige Lösungen in Dezimalform

θ = 0.95531 \dots + 2 πn, θ = 2 π - 0.95531 \dots + 2 πn

arctan (x + 1) + arctan (x - 1) = arctan (2)

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

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

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

6 sin (2 x) sin (x) = 6 cos (x)