cos(θ)= 5/7

Lösung

cos (θ) = \frac{5}{7}

θ = 0.77519 \dots + 2 πn, θ = 2 π - 0.77519 \dots + 2 πn

Grad

θ = 44.41530 \dots^{\circ} + 36 0^{\circ} n, θ = 315.58469 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{5}{7}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{5}{7}

Allgemeine Lösung für

cos (θ) = \frac{5}{7}

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

θ = arccos (\frac{5}{7}) + 2 πn, θ = 2 π - arccos (\frac{5}{7}) + 2 πn

θ = arccos (\frac{5}{7}) + 2 πn, θ = 2 π - arccos (\frac{5}{7}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.77519 \dots + 2 πn, θ = 2 π - 0.77519 \dots + 2 πn

2 sin (2 x) - 3 sin (x) = 0

cos (t) = - \frac{2}{2}

2 sin^{2} (3 x) = 1

sin^{2} (θ) - 16 = 0

sin (x) + tan (x) = 0