sin(x)= 1/8

Lösung

sin (x) = \frac{1}{8}

x = 0.12532 \dots + 2 πn, x = π - 0.12532 \dots + 2 πn

Grad

x = 7.18075 \dots^{\circ} + 36 0^{\circ} n, x = 172.81924 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{1}{8}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{1}{8}

Allgemeine Lösung für

sin (x) = \frac{1}{8}

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

x = arcsin (\frac{1}{8}) + 2 πn, x = π - arcsin (\frac{1}{8}) + 2 πn

x = arcsin (\frac{1}{8}) + 2 πn, x = π - arcsin (\frac{1}{8}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.12532 \dots + 2 πn, x = π - 0.12532 \dots + 2 πn

2 cos (2 θ) = 1

8 cos (θ) - 43 = 0

cos (x) = 1 + sin (x)

(tan (x) + 3) (cos (x) + 2) = 0

so l v e f or x, cos (y) + sin (x) = 1