sec(x)= 5/4

Lösung

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

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

Grad

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 323.13010 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

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

Wende die Eigenschaften der Trigonometrie an

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

Allgemeine Lösung für

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

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

x = arcsec (\frac{5}{4}) + 2 πn, x = 2 π - arcsec (\frac{5}{4}) + 2 πn

x = arcsec (\frac{5}{4}) + 2 πn, x = 2 π - arcsec (\frac{5}{4}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.64350 \dots + 2 πn, x = 2 π - 0.64350 \dots + 2 πn

sin (x) tan (x) = - 9 tan (x)

cos (x) - cos (3 x) = 0

5 cos (x) tan (x) + 3 tan (x) = 0

2 sec (θ) + 2 = 6

4 cos (x) tan (x) = 3 tan (x)