sec(θ)=sqrt(6)

Lösung

sec (θ) = 6

θ = 1.15026 \dots + 2 πn, θ = 2 π - 1.15026 \dots + 2 πn

Grad

θ = 65.90515 \dots^{\circ} + 36 0^{\circ} n, θ = 294.09484 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sec (θ) = 6

Wende die Eigenschaften der Trigonometrie an

sec (θ) = 6

Allgemeine Lösung für

sec (θ) = 6

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

θ = arcsec (6) + 2 πn, θ = 2 π - arcsec (6) + 2 πn

θ = arcsec (6) + 2 πn, θ = 2 π - arcsec (6) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.15026 \dots + 2 πn, θ = 2 π - 1.15026 \dots + 2 πn

tan (2 x - \frac{π}{3}) = - 3

3 sin^{2} (2 θ) + 8 cos (2 θ) = 0

cos (2 x - \frac{π}{3}) = \frac{1}{2}

sin (θ) = \frac{7}{11}

12 sin (t) cos (t) = 8 sin (t)