sin(x)= 13/14

Lösung

sin (x) = \frac{13}{14}

x = 1.19054 \dots + 2 πn, x = π - 1.19054 \dots + 2 πn

Grad

x = 68.21321 \dots^{\circ} + 36 0^{\circ} n, x = 111.78678 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{13}{14}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{13}{14}

Allgemeine Lösung für

sin (x) = \frac{13}{14}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{13}{14}) + 2 πn, x = π - arcsin (\frac{13}{14}) + 2 πn

x = arcsin (\frac{13}{14}) + 2 πn, x = π - arcsin (\frac{13}{14}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.19054 \dots + 2 πn, x = π - 1.19054 \dots + 2 πn

sin (x - \frac{π}{2}) + sin (\frac{π}{2}) = sin (x + \frac{π}{2})

cos (y) = 0.8192

so l v e f or x, 1.56 sin (2 x) = 2 \cdot sin (x) cos (x)

\frac{7}{sin ( 7 0 ^{\circ} )} = \frac{5}{sin ( b )}

6 cos^{2} (x) - 7 cos (x) + 2 = 0