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

Lösung

sin (x) = \frac{16 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

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

Streiche die gemeinsamen Faktoren:

4

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

sinh (z) - cosh (z) = 0

cos (x) = - 1.588908648

sin (- x) = 1

1 - sin^{2} (x) + sin (x) = 0

sin (4 x) = \frac{3}{4}