sin(a)= 4/5

Lösung

sin (a) = \frac{4}{5}

a = 0.92729 \dots + 2 πn, a = π - 0.92729 \dots + 2 πn

Grad

a = 53.13010 \dots^{\circ} + 36 0^{\circ} n, a = 126.86989 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (a) = \frac{4}{5}

Wende die Eigenschaften der Trigonometrie an

sin (a) = \frac{4}{5}

Allgemeine Lösung für

sin (a) = \frac{4}{5}

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

a = arcsin (\frac{4}{5}) + 2 πn, a = π - arcsin (\frac{4}{5}) + 2 πn

a = arcsin (\frac{4}{5}) + 2 πn, a = π - arcsin (\frac{4}{5}) + 2 πn

Zeige Lösungen in Dezimalform

a = 0.92729 \dots + 2 πn, a = π - 0.92729 \dots + 2 πn

cos (\frac{x}{2}) = 1

8 sin (x) = 4

tan (\frac{x}{2}) = - 3

11 sin (θ) + 2 = 4 sin (θ) + 2

sec^{2} (x) - tan (x) = 1