sin(x)=(48*sin(69))/(47.5)

Lösung

sin (x) = \frac{48 \cdot sin ( 6 9 ^{\circ} )}{47.5}

x = 1.23275 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.23275 \dots + 36 0^{\circ} n

Radianten

x = 1.23275 \dots + 2 πn, x = π - 1.23275 \dots + 2 πn

Schritte zur Lösung

sin (x) = \frac{48 sin ( 6 9 ^{\circ} )}{47.5}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{48 sin ( 6 9 ^{\circ} )}{47.5}

Allgemeine Lösung für

sin (x) = \frac{48 sin ( 6 9 ^{\circ} )}{47.5}

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

x = arcsin (\frac{48 sin ( 6 9 ^{\circ} )}{47.5}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{48 sin ( 6 9 ^{\circ} )}{47.5}) + 36 0^{\circ} n

x = arcsin (\frac{48 sin ( 6 9 ^{\circ} )}{47.5}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{48 sin ( 6 9 ^{\circ} )}{47.5}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

x = 1.23275 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.23275 \dots + 36 0^{\circ} n

cos (x) = \frac{8 3}{16}

so l v e f or x, cos^{2} (x) = 0

cos (θ) = \frac{7}{4}

sin (2 θ - \frac{π}{2}) = - 1, 0 \leq θ \leq 2 π

sin (\frac{π}{11}) = sin (\frac{x π}{11})