sin(x)=(sqrt(2))/4

Lösung

sin (x) = \frac{2}{4}

x = 0.36136 \dots + 2 πn, x = π - 0.36136 \dots + 2 πn

Grad

x = 20.70481 \dots^{\circ} + 36 0^{\circ} n, x = 159.29518 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{2}{4}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{2}{4}

Allgemeine Lösung für

sin (x) = \frac{2}{4}

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

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

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

Zeige Lösungen in Dezimalform

x = 0.36136 \dots + 2 πn, x = π - 0.36136 \dots + 2 πn

2 tan (2 x) - 6 = 0

8 sin (θ) + 15 cos (θ) = 18

\frac{30}{sin ( A )} = \frac{34.4}{sin ( 6 2 ^{\circ} )}

- 5 sin (x) = - 2 cos^{2} (x) + 4, 0 \leq x \leq 2 π

so l v e f or t, 4.6 = 0.106 cos (4.36 t)