sec(θ)= 5/2

Lösung

sec (θ) = \frac{5}{2}

θ = 1.15927 \dots + 2 πn, θ = 2 π - 1.15927 \dots + 2 πn

Grad

θ = 66.42182 \dots^{\circ} + 36 0^{\circ} n, θ = 293.57817 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sec (θ) = \frac{5}{2}

Wende die Eigenschaften der Trigonometrie an

sec (θ) = \frac{5}{2}

Allgemeine Lösung für

sec (θ) = \frac{5}{2}

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

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

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

Zeige Lösungen in Dezimalform

θ = 1.15927 \dots + 2 πn, θ = 2 π - 1.15927 \dots + 2 πn

4 cos (2 x) = 2 - 8 cos (x)

tan (x) = \frac{7}{8}

4 cos^{2} (x) + 1 = 0

3 cos^{2} (x) - 2 cos (x) = 0

cos (x - \frac{π}{2}) = 0