(sin(x))/(16)=(sin(31))/(12)

Lösung

\frac{sin ( x )}{16} = \frac{sin ( 3 1 ^{\circ} )}{12}

x = 0.75696 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.75696 \dots + 36 0^{\circ} n

Radianten

x = 0.75696 \dots + 2 πn, x = π - 0.75696 \dots + 2 πn

Schritte zur Lösung

\frac{sin ( x )}{16} = \frac{sin ( 3 1 ^{\circ} )}{12}

Multipliziere beide Seiten mit

16

\frac{sin ( x )}{16} = \frac{sin ( 3 1 ^{\circ} )}{12}

Multipliziere beide Seiten mit

16

\frac{16 sin ( x )}{16} = \frac{16 sin ( 3 1 ^{\circ} )}{12}

Vereinfache

sin (x) = \frac{4 sin ( 3 1 ^{\circ} )}{3}

sin (x) = \frac{4 sin ( 3 1 ^{\circ} )}{3}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{4 sin ( 3 1 ^{\circ} )}{3}

Allgemeine Lösung für

sin (x) = \frac{4 sin ( 3 1 ^{\circ} )}{3}

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

x = arcsin (\frac{4 sin ( 3 1 ^{\circ} )}{3}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{4 sin ( 3 1 ^{\circ} )}{3}) + 36 0^{\circ} n

x = arcsin (\frac{4 sin ( 3 1 ^{\circ} )}{3}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{4 sin ( 3 1 ^{\circ} )}{3}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

x = 0.75696 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 0.75696 \dots + 36 0^{\circ} n

sin (A) = \frac{2}{3}

3 cos (2 x + 1) = 2

sin (t) = \frac{3}{7}, cos (t)

tan (x) = \frac{16}{12}

sin (4 x + 10) = sin (9 0^{\circ})