cos(θ)= 1/4

Lösung

cos (θ) = \frac{1}{4}

θ = 1.31811 \dots + 2 πn, θ = 2 π - 1.31811 \dots + 2 πn

Grad

θ = 75.52248 \dots^{\circ} + 36 0^{\circ} n, θ = 284.47751 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{1}{4}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{1}{4}

Allgemeine Lösung für

cos (θ) = \frac{1}{4}

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

θ = arccos (\frac{1}{4}) + 2 πn, θ = 2 π - arccos (\frac{1}{4}) + 2 πn

θ = arccos (\frac{1}{4}) + 2 πn, θ = 2 π - arccos (\frac{1}{4}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.31811 \dots + 2 πn, θ = 2 π - 1.31811 \dots + 2 πn

tan (\frac{x}{2}) - sin (x) = 0

sin (θ) = \frac{1}{3}

cos (θ) = \frac{1}{2}

tan (2 x) = 3 tan (x)

tan (2 θ) = - 1