sin(x)=sin(80)

Lösung

sin (x) = sin (8 0^{\circ})

x = 1.39626 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.39626 \dots + 36 0^{\circ} n

Radianten

x = 1.39626 \dots + 2 πn, x = π - 1.39626 \dots + 2 πn

Schritte zur Lösung

sin (x) = sin (8 0^{\circ})

Wende die Eigenschaften der Trigonometrie an

sin (x) = sin (8 0^{\circ})

Allgemeine Lösung für

sin (x) = sin (8 0^{\circ})

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (sin (8 0^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (sin (8 0^{\circ})) + 36 0^{\circ} n

x = arcsin (sin (8 0^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (sin (8 0^{\circ})) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

x = 1.39626 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.39626 \dots + 36 0^{\circ} n