sec(θ)= 5/3

Lösung

sec (θ) = \frac{5}{3}

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

Grad

θ = 53.13010 \dots^{\circ} + 36 0^{\circ} n, θ = 306.86989 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sec (θ) = \frac{5}{3}

Wende die Eigenschaften der Trigonometrie an

sec (θ) = \frac{5}{3}

Allgemeine Lösung für

sec (θ) = \frac{5}{3}

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

θ = arcsec (\frac{5}{3}) + 2 πn, θ = 2 π - arcsec (\frac{5}{3}) + 2 πn

θ = arcsec (\frac{5}{3}) + 2 πn, θ = 2 π - arcsec (\frac{5}{3}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

1 - cos (x) = 3 sin (x)

sin (θ) = \frac{7}{25}

tan (x) = \frac{4}{5}

6 sec (x) csc (x) = 12 csc (x)

2 tan^{2} (θ) + 3 tan (θ) = 0