cos(x)=(-2)/3

Lösung

cos (x) = \frac{- 2}{3}

x = 2.30052 \dots + 2 πn, x = - 2.30052 \dots + 2 πn

Grad

x = 131.81031 \dots^{\circ} + 36 0^{\circ} n, x = - 131.81031 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{- 2}{3}

Wende Bruchregel an:

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

cos (x) = - \frac{2}{3}

Wende die Eigenschaften der Trigonometrie an

cos (x) = - \frac{2}{3}

Allgemeine Lösung für

cos (x) = - \frac{2}{3}

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

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

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

Zeige Lösungen in Dezimalform

x = 2.30052 \dots + 2 πn, x = - 2.30052 \dots + 2 πn

3 cot (θ) - 8 = - 11

2 cos (\frac{π}{4} - x) = 1

sin (θ) = \frac{56}{65}

900 = 400 sin (\frac{2 π t}{365} + \frac{7 π}{8}) + 500

2 sin^{2} (x) + 2 sin (x) = 0