sin(70)=1.15sin(x)

Lösung

sin (7 0^{\circ}) = 1.15 sin (x)

x = 0.95640 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.95640 \dots + 36 0^{\circ} n

Radianten

x = 0.95640 \dots + 2 πn, x = π - 0.95640 \dots + 2 πn

Schritte zur Lösung

sin (7 0^{\circ}) = 1.15 sin (x)

Tausche die Seiten

1.15 sin (x) = sin (7 0^{\circ})

Teile beide Seiten durch

1.15

1.15 sin (x) = sin (7 0^{\circ})

Teile beide Seiten durch

1.15

\frac{1.15 sin ( x )}{1.15} = \frac{sin ( 7 0 ^{\circ} )}{1.15}

Vereinfache

sin (x) = \frac{sin ( 7 0 ^{\circ} )}{1.15}

sin (x) = \frac{sin ( 7 0 ^{\circ} )}{1.15}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{sin ( 7 0 ^{\circ} )}{1.15}

Allgemeine Lösung für

sin (x) = \frac{sin ( 7 0 ^{\circ} )}{1.15}

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

x = arcsin (\frac{sin ( 7 0 ^{\circ} )}{1.15}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{sin ( 7 0 ^{\circ} )}{1.15}) + 36 0^{\circ} n

x = arcsin (\frac{sin ( 7 0 ^{\circ} )}{1.15}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{sin ( 7 0 ^{\circ} )}{1.15}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

x = 0.95640 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.95640 \dots + 36 0^{\circ} n

cos (θ) = - cos (2 θ)

3 (sin (x) - cos (x)) = 2 (sin (x) + cos (x))

so l v e f or θ, ma = t sin (θ) - m g

tan^{2} (x) + 3 = 3 sec (x)

3 cot^{2} (x) - 4 cot (x) + 3 = 0