(sin(95))/(27)=(sin(b))/(16)

Lösung

\frac{sin ( 9 5 ^{\circ} )}{27} = \frac{sin ( b )}{16}

b = 0.63147 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.63147 \dots + 36 0^{\circ} n

Radianten

b = 0.63147 \dots + 2 πn, b = π - 0.63147 \dots + 2 πn

Schritte zur Lösung

\frac{sin ( 9 5 ^{\circ} )}{27} = \frac{sin ( b )}{16}

Tausche die Seiten

\frac{sin ( b )}{16} = \frac{sin ( 9 5 ^{\circ} )}{27}

Multipliziere beide Seiten mit

16

\frac{sin ( b )}{16} = \frac{sin ( 9 5 ^{\circ} )}{27}

Multipliziere beide Seiten mit

16

\frac{16 sin ( b )}{16} = \frac{16 sin ( 9 5 ^{\circ} )}{27}

Vereinfache

sin (b) = \frac{16 sin ( 9 5 ^{\circ} )}{27}

sin (b) = \frac{16 sin ( 9 5 ^{\circ} )}{27}

Wende die Eigenschaften der Trigonometrie an

sin (b) = \frac{16 sin ( 9 5 ^{\circ} )}{27}

Allgemeine Lösung für

sin (b) = \frac{16 sin ( 9 5 ^{\circ} )}{27}

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

b = arcsin (\frac{16 sin ( 9 5 ^{\circ} )}{27}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{16 sin ( 9 5 ^{\circ} )}{27}) + 36 0^{\circ} n

b = arcsin (\frac{16 sin ( 9 5 ^{\circ} )}{27}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{16 sin ( 9 5 ^{\circ} )}{27}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

b = 0.63147 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.63147 \dots + 36 0^{\circ} n

sec (θ) = - \frac{7}{13}

tan (x) = - \infty

tan (2 x) + tan (4 x) = 0

tan^{2} (θ) - tan (θ) - 2 = 0

cos (a) = 0.94