sin(z)= 4/7

Lösung

sin (z) = \frac{4}{7}

z = 0.60824 \dots + 2 πn, z = π - 0.60824 \dots + 2 πn

Grad

z = 34.84990 \dots^{\circ} + 36 0^{\circ} n, z = 145.15009 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (z) = \frac{4}{7}

Wende die Eigenschaften der Trigonometrie an

sin (z) = \frac{4}{7}

Allgemeine Lösung für

sin (z) = \frac{4}{7}

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

z = arcsin (\frac{4}{7}) + 2 πn, z = π - arcsin (\frac{4}{7}) + 2 πn

z = arcsin (\frac{4}{7}) + 2 πn, z = π - arcsin (\frac{4}{7}) + 2 πn

Zeige Lösungen in Dezimalform

z = 0.60824 \dots + 2 πn, z = π - 0.60824 \dots + 2 πn

2 cos (θ) - 2 cos (3 θ) = 0

5 - 7 sin (A) - 2 cos^{2} (A) = 0

so l v e f or x, ln (y) + y^{2} = sin (x) + c

\frac{5}{2} = 2 + cos (x + \frac{2 π}{3})

sin (x) + cos (x) = \frac{2 + 3}{2}