cos(x)=(-3)/4

Lösung

cos (x) = \frac{- 3}{4}

x = 2.41885 \dots + 2 πn, x = - 2.41885 \dots + 2 πn

Grad

x = 138.59037 \dots^{\circ} + 36 0^{\circ} n, x = - 138.59037 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{- 3}{4}

Wende Bruchregel an:

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

cos (x) = - \frac{3}{4}

Wende die Eigenschaften der Trigonometrie an

cos (x) = - \frac{3}{4}

Allgemeine Lösung für

cos (x) = - \frac{3}{4}

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

x = arccos (- \frac{3}{4}) + 2 πn, x = - arccos (- \frac{3}{4}) + 2 πn

x = arccos (- \frac{3}{4}) + 2 πn, x = - arccos (- \frac{3}{4}) + 2 πn

Zeige Lösungen in Dezimalform

x = 2.41885 \dots + 2 πn, x = - 2.41885 \dots + 2 πn

\frac{2}{5} = cos (θ)

cos (x) = \frac{6}{7}

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

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

2 cos (4 x) + 3 = 4 cos (2 x)