3/5 =sin(x)

Lösung

\frac{3}{5} = sin (x)

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

Grad

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

\frac{3}{5} = sin (x)

Tausche die Seiten

sin (x) = \frac{3}{5}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{3}{5}

Allgemeine Lösung für

sin (x) = \frac{3}{5}

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

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

\frac{sin ^{2} ( x )}{1 - cos ^{2} ( x )} = cot (x)

cos^{2} (x) + cos^{3} (x) + cos^{4} (x) + cos^{5} (x) = 0

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

1 + 7 sinh (x) = 4 cosh^{2} (x)

sin^{2} (x) - 1 + 2 cos (2 x) - cos^{2} (x) = 0