cos(x)=(-1)/4

Lösung

cos (x) = \frac{- 1}{4}

x = 1.82347 \dots + 2 πn, x = - 1.82347 \dots + 2 πn

Grad

x = 104.47751 \dots^{\circ} + 36 0^{\circ} n, x = - 104.47751 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{- 1}{4}

Wende Bruchregel an:

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

cos (x) = - \frac{1}{4}

Wende die Eigenschaften der Trigonometrie an

cos (x) = - \frac{1}{4}

Allgemeine Lösung für

cos (x) = - \frac{1}{4}

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

x = arccos (- \frac{1}{4}) + 2 πn, x = - arccos (- \frac{1}{4}) + 2 πn

x = arccos (- \frac{1}{4}) + 2 πn, x = - arccos (- \frac{1}{4}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.82347 \dots + 2 πn, x = - 1.82347 \dots + 2 πn

tan (θ) = \frac{7}{2}

2 \cdot sin (2 x + 1 5^{\circ}) = 1

cos (2 x) + 3 cos (x) + 2 = 0, \frac{π}{2} \leq x \leq π

sin^{2} (4 x) = 1

sin (2 x + 60) = \frac{1}{2}