(sin(b))/(19)=(sin(74))/(19)

Lösung

\frac{sin ( b )}{19} = \frac{sin ( 7 4 ^{\circ} )}{19}

b = 1.29154 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 1.29154 \dots + 36 0^{\circ} n

Radianten

b = 1.29154 \dots + 2 πn, b = π - 1.29154 \dots + 2 πn

Schritte zur Lösung

\frac{sin ( b )}{19} = \frac{sin ( 7 4 ^{\circ} )}{19}

Multipliziere beide Seiten mit

19

\frac{sin ( b )}{19} = \frac{sin ( 7 4 ^{\circ} )}{19}

Multipliziere beide Seiten mit

19

\frac{19 sin ( b )}{19} = \frac{19 sin ( 7 4 ^{\circ} )}{19}

Vereinfache

sin (b) = sin (7 4^{\circ})

sin (b) = sin (7 4^{\circ})

Wende die Eigenschaften der Trigonometrie an

sin (b) = sin (7 4^{\circ})

Allgemeine Lösung für

sin (b) = sin (7 4^{\circ})

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

b = arcsin (sin (7 4^{\circ})) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (sin (7 4^{\circ})) + 36 0^{\circ} n

b = arcsin (sin (7 4^{\circ})) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (sin (7 4^{\circ})) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

b = 1.29154 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 1.29154 \dots + 36 0^{\circ} n

- 8 cos^{2} (x) + 6 = 2

sin (x) = \frac{10}{20}

\frac{sin ( x ) + cos ( x )}{sin ( x )} = 1 - \frac{1}{tan ( x )}

6 cos^{2} (x) - 5 sin (x) - 2 = 0

sec (θ) = - \frac{7}{4}