sec(θ)=-3

Lösung

sec (θ) = - 3

θ = 1.91063 \dots + 2 πn, θ = - 1.91063 \dots + 2 πn

Grad

θ = 109.47122 \dots^{\circ} + 36 0^{\circ} n, θ = - 109.47122 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sec (θ) = - 3

Wende die Eigenschaften der Trigonometrie an

sec (θ) = - 3

Allgemeine Lösung für

sec (θ) = - 3

sec (x) = - a \Rightarrow x = arcsec (- a) + 2 πn, x = - arcsec (- a) + 2 πn

θ = arcsec (- 3) + 2 πn, θ = - arcsec (- 3) + 2 πn

θ = arcsec (- 3) + 2 πn, θ = - arcsec (- 3) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.91063 \dots + 2 πn, θ = - 1.91063 \dots + 2 πn

cos^{2} (x) - 5 cos (x) - 1 = 0

cos (2 θ) = - cos (θ)

2 sin (x) cos (x) - 2 cos (x) - sin (x) + 1 = 0

2 cos^{2} (θ) = 1 - cos (θ)

- 5 cos^{2} (θ) = 12 sin (θ) + 4