sin(B)= 1/4

Lösung

sin (B) = \frac{1}{4}

B = 0.25268 \dots + 2 πn, B = π - 0.25268 \dots + 2 πn

Grad

B = 14.47751 \dots^{\circ} + 36 0^{\circ} n, B = 165.52248 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (B) = \frac{1}{4}

Wende die Eigenschaften der Trigonometrie an

sin (B) = \frac{1}{4}

Allgemeine Lösung für

sin (B) = \frac{1}{4}

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

B = arcsin (\frac{1}{4}) + 2 πn, B = π - arcsin (\frac{1}{4}) + 2 πn

B = arcsin (\frac{1}{4}) + 2 πn, B = π - arcsin (\frac{1}{4}) + 2 πn

Zeige Lösungen in Dezimalform

B = 0.25268 \dots + 2 πn, B = π - 0.25268 \dots + 2 πn

55 sin (θ) - 20 - 20 cos (θ) = 0

8 sin^{2} (x) = 1

5 sin (x) cos (x) = cos (x)

0.6875 = cos (A)

\frac{sin ( 2 x )}{sin ( x )} = 1.5