sec(θ)=(sqrt(5))/2

Lösung

sec (θ) = \frac{5}{2}

θ = 0.46364 \dots + 2 πn, θ = 2 π - 0.46364 \dots + 2 πn

Grad

θ = 26.56505 \dots^{\circ} + 36 0^{\circ} n, θ = 333.43494 \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 = 0.46364 \dots + 2 πn, θ = 2 π - 0.46364 \dots + 2 πn

4 cos (x - 1) = 0

cos (θ) = \frac{5}{7}, cos (\frac{θ}{2}), 0^{\circ} < θ < 9 0^{\circ}

sin (x) + 4 = cos (x) + 3

\frac{sin ( 17 0 ^{\circ} )}{8} = \frac{sin ( B )}{5}

tan (x) = 0.01096