cos(x)=(-1)/3

Lösung

cos (x) = \frac{- 1}{3}

x = 1.91063 \dots + 2 πn, x = - 1.91063 \dots + 2 πn

Grad

x = 109.47122 \dots^{\circ} + 36 0^{\circ} n, x = - 109.47122 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{- 1}{3}

Wende Bruchregel an:

\frac{- a}{b} = - \frac{a}{b}

cos (x) = - \frac{1}{3}

Wende die Eigenschaften der Trigonometrie an

cos (x) = - \frac{1}{3}

Allgemeine Lösung für

cos (x) = - \frac{1}{3}

cos (x) = - a \Rightarrow x = arccos (- a) + 2 πn, x = - arccos (- a) + 2 πn

x = arccos (- \frac{1}{3}) + 2 πn, x = - arccos (- \frac{1}{3}) + 2 πn

x = arccos (- \frac{1}{3}) + 2 πn, x = - arccos (- \frac{1}{3}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.91063 \dots + 2 πn, x = - 1.91063 \dots + 2 πn

sin (x) cos (x) = 2 cos (x)

tan^{2} (x) + 5 tan (x) + 6 = 0

cos^{4} (x) - sin^{4} (x) = 1

4 sec^{2} (x) tan (x) = 8 tan (x)

sin (x) (sin (x) - 1) = 0