sin(x)=0.71

Lösung

sin (x) = 0.71

x = 0.78949 \dots + 2 πn, x = π - 0.78949 \dots + 2 πn

Grad

x = 45.23491 \dots^{\circ} + 36 0^{\circ} n, x = 134.76508 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = 0.71

Wende die Eigenschaften der Trigonometrie an

sin (x) = 0.71

Allgemeine Lösung für

sin (x) = 0.71

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

x = arcsin (0.71) + 2 πn, x = π - arcsin (0.71) + 2 πn

x = arcsin (0.71) + 2 πn, x = π - arcsin (0.71) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.78949 \dots + 2 πn, x = π - 0.78949 \dots + 2 πn

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

cos (2 x) = - 0.4, - 18 0^{\circ} \leq x \leq 18 0^{\circ}

cos (x) = \frac{- 4}{\frac{8}{3} 3}

- 2 tan (x) + 6 = 8

2 sin (x) = 1.564