sec(x)=sqrt(3)

Lösung

sec (x) = 3

x = 0.95531 \dots + 2 πn, x = 2 π - 0.95531 \dots + 2 πn

Grad

x = 54.73561 \dots^{\circ} + 36 0^{\circ} n, x = 305.26438 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sec (x) = 3

Wende die Eigenschaften der Trigonometrie an

sec (x) = 3

Allgemeine Lösung für

sec (x) = 3

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

x = arcsec (3) + 2 πn, x = 2 π - arcsec (3) + 2 πn

x = arcsec (3) + 2 πn, x = 2 π - arcsec (3) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.95531 \dots + 2 πn, x = 2 π - 0.95531 \dots + 2 πn

2 cos^{2} (x) + 1 = - 3 cos (x)

8 sin (θ) + 5 = 0

2 cos^{2} (x) + 3 cos (x) = - 1, 0 \leq x \leq 2 π

9 cos (2 θ) = - 9 cos (θ)

3 sec^{2} (x) - 3 sec (x) = 6