sin(x)= 4/9

Lösung

sin (x) = \frac{4}{9}

x = 0.46055 \dots + 2 πn, x = π - 0.46055 \dots + 2 πn

Grad

x = 26.38779 \dots^{\circ} + 36 0^{\circ} n, x = 153.61220 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{4}{9}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{4}{9}

Allgemeine Lösung für

sin (x) = \frac{4}{9}

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

x = arcsin (\frac{4}{9}) + 2 πn, x = π - arcsin (\frac{4}{9}) + 2 πn

x = arcsin (\frac{4}{9}) + 2 πn, x = π - arcsin (\frac{4}{9}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.46055 \dots + 2 πn, x = π - 0.46055 \dots + 2 πn

sin (x) = \frac{4}{6}

- 4 sin (x) = 0

4 sin^{2} (θ) - sin (θ) - 4 = 0

tan (θ) = 1

sin (2 θ) + cos (2 θ) = 0