sin(x)= 16/20

Lösung

sin (x) = \frac{16}{20}

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

Grad

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

Schritte zur Lösung

sin (x) = \frac{16}{20}

Streiche die gemeinsamen Faktoren:

4

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

Wende die Eigenschaften der Trigonometrie an

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

Allgemeine Lösung für

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

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

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

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

Zeige Lösungen in Dezimalform

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

3 cos (x) = 2 sin (x)

1 = tan (0 + c)

4 sin^{2} (x) = 3 - 4 sin (x)

sin^{3} (x) - 0.25 sin (x) = 0

sin (x) - cos (x) = \frac{3}{2}