cos(θ)=0.513

Lösung

cos (θ) = 0.513

θ = 1.03212 \dots + 2 πn, θ = 2 π - 1.03212 \dots + 2 πn

Grad

θ = 59.13613 \dots^{\circ} + 36 0^{\circ} n, θ = 300.86386 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = 0.513

Wende die Eigenschaften der Trigonometrie an

cos (θ) = 0.513

Allgemeine Lösung für

cos (θ) = 0.513

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

θ = arccos (0.513) + 2 πn, θ = 2 π - arccos (0.513) + 2 πn

θ = arccos (0.513) + 2 πn, θ = 2 π - arccos (0.513) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.03212 \dots + 2 πn, θ = 2 π - 1.03212 \dots + 2 πn

cot (x) = - \frac{24}{7}

sin (θ) = - \frac{2}{3}, 18 0^{\circ} < θ < 27 0^{\circ}

so l v e f or x, R f = e^{c o s (2 x)}

sin (2 θ) = \frac{12}{13}

sin^{2} (θ) + sin (θ) = 2