(sin(42)}{6.25}=\frac{sin(x))/9

Lösung

\frac{sin ( 4 2 ^{\circ} )}{6.25} = \frac{sin ( x )}{9}

x = 1.29996 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.29996 \dots + 36 0^{\circ} n

Radianten

x = 1.29996 \dots + 2 πn, x = π - 1.29996 \dots + 2 πn

Schritte zur Lösung

\frac{sin ( 4 2 ^{\circ} )}{6.25} = \frac{sin ( x )}{9}

Tausche die Seiten

\frac{sin ( x )}{9} = \frac{sin ( 4 2 ^{\circ} )}{6.25}

Multipliziere beide Seiten mit

9

\frac{sin ( x )}{9} = \frac{sin ( 4 2 ^{\circ} )}{6.25}

Multipliziere beide Seiten mit

9

\frac{9 sin ( x )}{9} = \frac{9 sin ( 4 2 ^{\circ} )}{6.25}

Vereinfache

sin (x) = \frac{9 sin ( 4 2 ^{\circ} )}{6.25}

sin (x) = \frac{9 sin ( 4 2 ^{\circ} )}{6.25}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{9 sin ( 4 2 ^{\circ} )}{6.25}

Allgemeine Lösung für

sin (x) = \frac{9 sin ( 4 2 ^{\circ} )}{6.25}

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

x = arcsin (\frac{9 sin ( 4 2 ^{\circ} )}{6.25}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{9 sin ( 4 2 ^{\circ} )}{6.25}) + 36 0^{\circ} n

x = arcsin (\frac{9 sin ( 4 2 ^{\circ} )}{6.25}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{9 sin ( 4 2 ^{\circ} )}{6.25}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

x = 1.29996 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.29996 \dots + 36 0^{\circ} n

\frac{tan ( x ) + cot ( x )}{csc ( x )} = cos (x)

tan (θ) = - \frac{3}{7}

2 sin (\frac{x}{2}) = 2

cos (θ) = 0.7071

2 cos (x) - 5 sin (x) = 0