2/pi =sin(x)

Lösung

\frac{2}{π} = sin (x)

x = 0.69010 \dots + 2 πn, x = π - 0.69010 \dots + 2 πn

Grad

x = 39.54022 \dots^{\circ} + 36 0^{\circ} n, x = 140.45977 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

\frac{2}{π} = sin (x)

Tausche die Seiten

sin (x) = \frac{2}{π}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{2}{π}

Allgemeine Lösung für

sin (x) = \frac{2}{π}

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

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

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

Zeige Lösungen in Dezimalform

x = 0.69010 \dots + 2 πn, x = π - 0.69010 \dots + 2 πn

1 - 3 cos (x) = 0

arccos (x) = arcsin (\frac{3}{5})

so l v e f or x, y = 2 tan (x)

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

tan^{2} (x) - 3 tan (x) = 0, 0 \leq x \leq 2 π