sin(t)= 2/5

Lösung

sin (t) = \frac{2}{5}

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

Grad

t = 23.57817 \dots^{\circ} + 36 0^{\circ} n, t = 156.42182 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (t) = \frac{2}{5}

Wende die Eigenschaften der Trigonometrie an

sin (t) = \frac{2}{5}

Allgemeine Lösung für

sin (t) = \frac{2}{5}

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

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

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

Zeige Lösungen in Dezimalform

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

tan (x) - 1 = sec (x)

0 = sec (x)

tan (2 x) = - 2

tan^{3} (x) - 1 tan (x) = 0

2 cos (x) - 1 = 0, 0 \leq x \leq 2 π