sin(x)=sin(50)

Lösung

sin (x) = sin (5 0^{\circ})

x = 0.87266 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.87266 \dots + 36 0^{\circ} n

Radianten

x = 0.87266 \dots + 2 πn, x = π - 0.87266 \dots + 2 πn

Schritte zur Lösung

sin (x) = sin (5 0^{\circ})

Wende die Eigenschaften der Trigonometrie an

sin (x) = sin (5 0^{\circ})

Allgemeine Lösung für

sin (x) = sin (5 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 (5 0^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (sin (5 0^{\circ})) + 36 0^{\circ} n

x = arcsin (sin (5 0^{\circ})) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (sin (5 0^{\circ})) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

x = 0.87266 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.87266 \dots + 36 0^{\circ} n

so l v e f or n, y = - sin (2 (\frac{3 π}{4} + πn)) 2

tan (θ) = \frac{18}{7}

2 cos^{2} (θ) = 1 + sin (θ)

3 tan (x) = sin (x)

5 = sinh (x)