sin(x)=(23/24)

Lösung

sin (x) = (\frac{23}{24})

x = 1.28110 \dots + 2 πn, x = π - 1.28110 \dots + 2 πn

Grad

x = 73.40215 \dots^{\circ} + 36 0^{\circ} n, x = 106.59784 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = (\frac{23}{24})

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{23}{24}

Allgemeine Lösung für

sin (x) = \frac{23}{24}

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

x = arcsin (\frac{23}{24}) + 2 πn, x = π - arcsin (\frac{23}{24}) + 2 πn

x = arcsin (\frac{23}{24}) + 2 πn, x = π - arcsin (\frac{23}{24}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.28110 \dots + 2 πn, x = π - 1.28110 \dots + 2 πn

tan (θ) = - \frac{5}{4}

6 tan (θ) = - 23

cot (θ) = 0.6

15 sin (3 x) = 0

sin (3 θ) = - 1, 0^{\circ} \leq θ \leq 36 0^{\circ}