sin(t)= 1/3

Lösung

sin (t) = \frac{1}{3}

t = 0.33983 \dots + 2 πn, t = π - 0.33983 \dots + 2 πn

Grad

t = 19.47122 \dots^{\circ} + 36 0^{\circ} n, t = 160.52877 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (t) = \frac{1}{3}

Wende die Eigenschaften der Trigonometrie an

sin (t) = \frac{1}{3}

Allgemeine Lösung für

sin (t) = \frac{1}{3}

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

t = arcsin (\frac{1}{3}) + 2 πn, t = π - arcsin (\frac{1}{3}) + 2 πn

t = arcsin (\frac{1}{3}) + 2 πn, t = π - arcsin (\frac{1}{3}) + 2 πn

Zeige Lösungen in Dezimalform

t = 0.33983 \dots + 2 πn, t = π - 0.33983 \dots + 2 πn

5 csc (x) - 3 = 2

2 cos^{2} (x) + 2 = 4

sin (z) = 3

3 sin (\frac{θ}{2}) + sin (θ) = 0

2 sin (x) cos (x) sin (x) = cos (x)