(sin(θ))/(1.3)=(sin(125))/(2.8519)

Lösung

\frac{sin ( θ )}{1.3} = \frac{sin ( 12 5 ^{\circ} )}{2.8519}

θ = 0.38267 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.38267 \dots + 36 0^{\circ} n

Radianten

θ = 0.38267 \dots + 2 πn, θ = π - 0.38267 \dots + 2 πn

Schritte zur Lösung

\frac{sin ( θ )}{1.3} = \frac{sin ( 12 5 ^{\circ} )}{2.8519}

Multipliziere beide Seiten mit

1.3

\frac{sin ( θ )}{1.3} = \frac{sin ( 12 5 ^{\circ} )}{2.8519}

Multipliziere beide Seiten mit

1.3

\frac{1.3 sin ( θ )}{1.3} = \frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}

Vereinfache

sin (θ) = \frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}

sin (θ) = \frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}

Allgemeine Lösung für

sin (θ) = \frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}

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

θ = arcsin (\frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}) + 36 0^{\circ} n

θ = arcsin (\frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

θ = 0.38267 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.38267 \dots + 36 0^{\circ} n

8 sin (θ) cos (θ) tan (θ) = csc (θ)

\frac{cot ( θ )}{sec ( θ )} = sin (θ)

16 sin (2 x) = 0

cos (2 α) + sin (α) = 0

sin (9 0^{\circ} - x^{\circ}) = \frac{4}{5}