sin(x)= pi/6

Lösung

sin (x) = \frac{π}{6}

x = 0.55106 \dots + 2 πn, x = π - 0.55106 \dots + 2 πn

Grad

x = 31.57396 \dots^{\circ} + 36 0^{\circ} n, x = 148.42603 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{π}{6}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{π}{6}

Allgemeine Lösung für

sin (x) = \frac{π}{6}

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

x = arcsin (\frac{π}{6}) + 2 πn, x = π - arcsin (\frac{π}{6}) + 2 πn

x = arcsin (\frac{π}{6}) + 2 πn, x = π - arcsin (\frac{π}{6}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.55106 \dots + 2 πn, x = π - 0.55106 \dots + 2 πn

csc (t) = 3735, 0 < t < \frac{π}{2}, cot (t)

- 1 = cos (3 x)

cos^{2} (2 x) = 1

- sin (2 x) + sin (x) = 0

sin^{2} (x) = 3 (1 - cos (x))