sin(b)=(10.21(sin(61.36)))/(11.47)

Lösung

sin (b) = \frac{10.21 ( sin ( 61.3 6 ^{\circ} ) )}{11.47}

b = 0.89664 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.89664 \dots + 36 0^{\circ} n

Radianten

b = 0.89664 \dots + 2 πn, b = π - 0.89664 \dots + 2 πn

Schritte zur Lösung

sin (b) = \frac{10.21 ( sin ( 61.3 6 ^{\circ} ) )}{11.47}

Wende die Eigenschaften der Trigonometrie an

sin (b) = \frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}

Allgemeine Lösung für

sin (b) = \frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}

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

b = arcsin (\frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}) + 36 0^{\circ} n

b = arcsin (\frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}) + 36 0^{\circ} n, b = 18 0^{\circ} - arcsin (\frac{10.21 sin ( 61.3 6 ^{\circ} )}{11.47}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

b = 0.89664 \dots + 36 0^{\circ} n, b = 18 0^{\circ} - 0.89664 \dots + 36 0^{\circ} n

cos (θ) = 0.513

cot (x) = - \frac{24}{7}

sin (θ) = - \frac{2}{3}, 18 0^{\circ} < θ < 27 0^{\circ}

so l v e f or x, R f = e^{c o s (2 x)}

sin (2 θ) = \frac{12}{13}