29.19sin(x)=1.5406

Lösung

2 \cdot 9.19 \cdot sin (x) = 1.5406

x = 0.08391 \dots + 2 πn, x = π - 0.08391 \dots + 2 πn

Grad

x = 4.80813 \dots^{\circ} + 36 0^{\circ} n, x = 175.19186 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

2 \cdot 9.19 sin (x) = 1.5406

Teile beide Seiten durch

18.38

2 \cdot 9.19 sin (x) = 1.5406

Teile beide Seiten durch

18.38

\frac{2 \cdot 9.19 sin ( x )}{18.38} = \frac{1.5406}{18.38}

Vereinfache

sin (x) = \frac{1.5406}{18.38}

sin (x) = \frac{1.5406}{18.38}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{1.5406}{18.38}

Allgemeine Lösung für

sin (x) = \frac{1.5406}{18.38}

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

x = arcsin (\frac{1.5406}{18.38}) + 2 πn, x = π - arcsin (\frac{1.5406}{18.38}) + 2 πn

x = arcsin (\frac{1.5406}{18.38}) + 2 πn, x = π - arcsin (\frac{1.5406}{18.38}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.08391 \dots + 2 πn, x = π - 0.08391 \dots + 2 πn

csc^{3} (x) - 4 csc (x) = 3 cot^{2} (x)

1 + tan^{2} (θ) = 4 tan^{2} (θ)

(tan (θ) + 1) (cos (θ) + 1) (sin (θ)) = 0

6 sin (2 x) - 3 = 0

4 cos^{2} (x) - sin (x) = 1