sin(x)= 5/7

Lösung

sin (x) = \frac{5}{7}

x = 0.79560 \dots + 2 πn, x = π - 0.79560 \dots + 2 πn

Grad

x = 45.58469 \dots^{\circ} + 36 0^{\circ} n, x = 134.41530 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{5}{7}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{5}{7}

Allgemeine Lösung für

sin (x) = \frac{5}{7}

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

x = arcsin (\frac{5}{7}) + 2 πn, x = π - arcsin (\frac{5}{7}) + 2 πn

x = arcsin (\frac{5}{7}) + 2 πn, x = π - arcsin (\frac{5}{7}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.79560 \dots + 2 πn, x = π - 0.79560 \dots + 2 πn

sec (t) = 2

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

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

csc^{2} (x) = 4

3 tanh (2 θ) = 5 sech (θ) + 1