sin(a)= 5/9

Lösung

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

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

Grad

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

Schritte zur Lösung

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

Wende die Eigenschaften der Trigonometrie an

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

Allgemeine Lösung für

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

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

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

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

Zeige Lösungen in Dezimalform

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

sin (x - 2 0^{\circ}) = \frac{1}{2}

cos (5 x) - cos (x) = sin (5 x) - sin (x)

sin (θ) = \frac{8}{17}, cos (θ) = \frac{15}{17}, tan (θ)

tan (x) = \frac{7}{10}

cos (5 x) + cos (x) = 2 cos (2 x)