(sin(37))/(23)=(sin(x))/(21)

Lösung

\frac{sin ( 3 7 ^{\circ} )}{23} = \frac{sin ( x )}{21}

x = 0.58174 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.58174 \dots + 36 0^{\circ} n

Radianten

x = 0.58174 \dots + 2 πn, x = π - 0.58174 \dots + 2 πn

Schritte zur Lösung

\frac{sin ( 3 7 ^{\circ} )}{23} = \frac{sin ( x )}{21}

Tausche die Seiten

\frac{sin ( x )}{21} = \frac{sin ( 3 7 ^{\circ} )}{23}

Multipliziere beide Seiten mit

21

\frac{sin ( x )}{21} = \frac{sin ( 3 7 ^{\circ} )}{23}

Multipliziere beide Seiten mit

21

\frac{21 sin ( x )}{21} = \frac{21 sin ( 3 7 ^{\circ} )}{23}

Vereinfache

sin (x) = \frac{21 sin ( 3 7 ^{\circ} )}{23}

sin (x) = \frac{21 sin ( 3 7 ^{\circ} )}{23}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{21 sin ( 3 7 ^{\circ} )}{23}

Allgemeine Lösung für

sin (x) = \frac{21 sin ( 3 7 ^{\circ} )}{23}

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

x = arcsin (\frac{21 sin ( 3 7 ^{\circ} )}{23}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{21 sin ( 3 7 ^{\circ} )}{23}) + 36 0^{\circ} n

x = arcsin (\frac{21 sin ( 3 7 ^{\circ} )}{23}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{21 sin ( 3 7 ^{\circ} )}{23}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

x = 0.58174 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.58174 \dots + 36 0^{\circ} n

csc (x) = \frac{1}{3}

(cot (x) + 1) (3 tan (x) - 1) = 0

cos^{3} (x) = cos^{2} (x)

cos (θ) = - 0.8

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