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Beliebt Trigonometrie >

sec(θ)= 10/6

Lösung

sec (θ) = \frac{10}{6}

Lösung

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

+1

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{10}{6}

Streiche die gemeinsamen Faktoren:

2

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

Graph

Beliebte Beispiele

solvefor x,2cos(3x)=-sqrt(3)

so l v e f or x, 2 cos (3 x) = - 3

solvefor x,7-3cos(x)=9sin^2(x)

so l v e f or x, 7 - 3 cos (x) = 9 sin^{2} (x)

4sin(x)=3tan(x)

4 sin (x) = 3 tan (x)

sin^2(x)+sin(x)=1

sin^{2} (x) + sin (x) = 1

solvefor x,csin(mx)m=(npi)/a

so l v e f or x, c sin (m x) m = \frac{nπ}{a}