sin(x)= 7/8

Lösung

sin (x) = \frac{7}{8}

x = 1.06543 \dots + 2 πn, x = π - 1.06543 \dots + 2 πn

Grad

x = 61.04497 \dots^{\circ} + 36 0^{\circ} n, x = 118.95502 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{7}{8}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{7}{8}

Allgemeine Lösung für

sin (x) = \frac{7}{8}

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

x = arcsin (\frac{7}{8}) + 2 πn, x = π - arcsin (\frac{7}{8}) + 2 πn

x = arcsin (\frac{7}{8}) + 2 πn, x = π - arcsin (\frac{7}{8}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.06543 \dots + 2 πn, x = π - 1.06543 \dots + 2 πn

3 cos (2 x) - 2 cos^{2} (x) - 5 = 2 cos^{2} (x) - 7

sin (3 x + 48) = cos (1 0^{\circ} - x)

2 sin (\frac{θ}{3}) + 3 = 0, 0 \leq θ \leq 2 π

sin (2 x) - 2 sin (x) = 0, 0 \leq x \leq 2 π

2 sin (x - \frac{π}{3}) + 3 = 0