cos(θ)=-9/10

Lösung

cos (θ) = - \frac{9}{10}

θ = 2.69056 \dots + 2 πn, θ = - 2.69056 \dots + 2 πn

Grad

θ = 154.15806 \dots^{\circ} + 36 0^{\circ} n, θ = - 154.15806 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = - \frac{9}{10}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = - \frac{9}{10}

Allgemeine Lösung für

cos (θ) = - \frac{9}{10}

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

θ = arccos (- \frac{9}{10}) + 2 πn, θ = - arccos (- \frac{9}{10}) + 2 πn

θ = arccos (- \frac{9}{10}) + 2 πn, θ = - arccos (- \frac{9}{10}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 2.69056 \dots + 2 πn, θ = - 2.69056 \dots + 2 πn

tan (2 θ) = 2

tan (x) = \frac{5}{20}

sin (x) + sin (9 0^{\circ} - x) = sin (9 0^{\circ})

sin (2 x) = cos (x - 6 0^{\circ})

tan (x) = \frac{1}{cos ^{2} ( x )}