sin(x)=-2/5

Lösung

sin (x) = - \frac{2}{5}

x = - 0.41151 \dots + 2 πn, x = π + 0.41151 \dots + 2 πn

Grad

x = - 23.57817 \dots^{\circ} + 36 0^{\circ} n, x = 203.57817 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = - \frac{2}{5}

Wende die Eigenschaften der Trigonometrie an

sin (x) = - \frac{2}{5}

Allgemeine Lösung für

sin (x) = - \frac{2}{5}

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

x = arcsin (- \frac{2}{5}) + 2 πn, x = π + arcsin (\frac{2}{5}) + 2 πn

x = arcsin (- \frac{2}{5}) + 2 πn, x = π + arcsin (\frac{2}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = - 0.41151 \dots + 2 πn, x = π + 0.41151 \dots + 2 πn

3 sin (x) = 3 sin (x) + 3 cos (x) + 3 sin (x)

2 cos^{2} (x) + 5 sin (x) - 4 = 0

2 cos^{2} (x) - 3 cos (x) = 0

cos^{2} (\frac{x}{2}) - sin^{2} (\frac{x}{2}) = sin (x)

tan (x) + sec (x) = - 1