sin(x)=(-2sqrt(5))/5

Lösung

sin (x) = \frac{- 2 5}{5}

x = - 1.10714 \dots + 2 πn, x = π + 1.10714 \dots + 2 πn

Grad

x = - 63.43494 \dots^{\circ} + 36 0^{\circ} n, x = 243.43494 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{- 2 5}{5}

Wende Bruchregel an:

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

sin (x) = - \frac{2 5}{5}

Wende die Eigenschaften der Trigonometrie an

sin (x) = - \frac{2 5}{5}

Allgemeine Lösung für

sin (x) = - \frac{2 5}{5}

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

x = arcsin (- \frac{2 5}{5}) + 2 πn, x = π + arcsin (\frac{2 5}{5}) + 2 πn

x = arcsin (- \frac{2 5}{5}) + 2 πn, x = π + arcsin (\frac{2 5}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = - 1.10714 \dots + 2 πn, x = π + 1.10714 \dots + 2 πn

tan (2 x - 1) = 0

3 cos^{2} (x) - 8 cos (x) + 4 = 0

49.55 \cdot 1 - sin^{2} (θ) - 30 sin (θ) = 1.225

cos (2 x) + sin (x) - 1 = 0

arctan (e^{x}) = 0