sin(x)= 10/18

Lösung

sin (x) = \frac{10}{18}

x = 0.58903 \dots + 2 πn, x = π - 0.58903 \dots + 2 πn

Grad

x = 33.74898 \dots^{\circ} + 36 0^{\circ} n, x = 146.25101 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{10}{18}

Streiche die gemeinsamen Faktoren:

2

sin (x) = \frac{5}{9}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{5}{9}

Allgemeine Lösung für

sin (x) = \frac{5}{9}

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

x = arcsin (\frac{5}{9}) + 2 πn, x = π - arcsin (\frac{5}{9}) + 2 πn

x = arcsin (\frac{5}{9}) + 2 πn, x = π - arcsin (\frac{5}{9}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.58903 \dots + 2 πn, x = π - 0.58903 \dots + 2 πn

tan (2 x) = 2 cos (x)

3 sec^{2} (θ) - 2 tan^{2} (θ) - 4 = 0

cos^{2} (x) + 5 sin^{2} (x) = 2

(sin (x))^{(s i n (x))} = \frac{1}{2}

(d^{2} - 4) = cos^{2} (x)