sec(θ)= 25/7

Lösung

sec (θ) = \frac{25}{7}

θ = 1.28700 \dots + 2 πn, θ = 2 π - 1.28700 \dots + 2 πn

Grad

θ = 73.73979 \dots^{\circ} + 36 0^{\circ} n, θ = 286.26020 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sec (θ) = \frac{25}{7}

Wende die Eigenschaften der Trigonometrie an

sec (θ) = \frac{25}{7}

Allgemeine Lösung für

sec (θ) = \frac{25}{7}

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

θ = arcsec (\frac{25}{7}) + 2 πn, θ = 2 π - arcsec (\frac{25}{7}) + 2 πn

θ = arcsec (\frac{25}{7}) + 2 πn, θ = 2 π - arcsec (\frac{25}{7}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.28700 \dots + 2 πn, θ = 2 π - 1.28700 \dots + 2 πn

sec (x) = 3, \frac{3 π}{2} \leq x \leq 2 π

tan (2 x) = cot (3 x)

cos^{2} (β) - cot^{2} (β) = cos^{2} (β) cot^{2} (β)

cos^{3} (x) = cos (x), 0 \leq x < 2 π

sin (r) = 0.58