cos(θ)=cos(pi/(13))

Lösung

cos (θ) = cos (\frac{π}{13})

θ = 0.24166 \dots + 2 πn, θ = 2 π - 0.24166 \dots + 2 πn

Grad

θ = 13.84615 \dots^{\circ} + 36 0^{\circ} n, θ = 346.15384 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = cos (\frac{π}{13})

Wende die Eigenschaften der Trigonometrie an

cos (θ) = cos (\frac{π}{13})

Allgemeine Lösung für

cos (θ) = cos (\frac{π}{13})

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

θ = arccos (cos (\frac{π}{13})) + 2 πn, θ = 2 π - arccos (cos (\frac{π}{13})) + 2 πn

θ = arccos (cos (\frac{π}{13})) + 2 πn, θ = 2 π - arccos (cos (\frac{π}{13})) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.24166 \dots + 2 πn, θ = 2 π - 0.24166 \dots + 2 πn

sin (2 x + \frac{π}{6}) = - 1

tan (x) = 2 π

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

so l v e f or x, z = sin (5 x) y^{3}

8 tan^{2} (θ) - 1 = 3 tan (θ) + 4