sec(t)=3

Lösung

sec (t) = 3

t = 1.23095 \dots + 2 πn, t = 2 π - 1.23095 \dots + 2 πn

Grad

t = 70.52877 \dots^{\circ} + 36 0^{\circ} n, t = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sec (t) = 3

Wende die Eigenschaften der Trigonometrie an

sec (t) = 3

Allgemeine Lösung für

sec (t) = 3

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

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

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

Zeige Lösungen in Dezimalform

t = 1.23095 \dots + 2 πn, t = 2 π - 1.23095 \dots + 2 πn

tan (θ) = - \frac{12}{5}

so l v e f or x, sin (2 x) = sin (x)

- 3 cos (2 θ) + 7 cos (θ) - 10 = - 5

3 cos (2 θ) = - 9 cos (θ) - 6

5 sin (x) cos (x) + cos (x) = 0