cos(B)= 8/12

Lösung

cos (B) = \frac{8}{12}

B = 0.84106 \dots + 2 πn, B = 2 π - 0.84106 \dots + 2 πn

Grad

B = 48.18968 \dots^{\circ} + 36 0^{\circ} n, B = 311.81031 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (B) = \frac{8}{12}

Streiche die gemeinsamen Faktoren:

4

cos (B) = \frac{2}{3}

Wende die Eigenschaften der Trigonometrie an

cos (B) = \frac{2}{3}

Allgemeine Lösung für

cos (B) = \frac{2}{3}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

B = arccos (\frac{2}{3}) + 2 πn, B = 2 π - arccos (\frac{2}{3}) + 2 πn

B = arccos (\frac{2}{3}) + 2 πn, B = 2 π - arccos (\frac{2}{3}) + 2 πn

Zeige Lösungen in Dezimalform

B = 0.84106 \dots + 2 πn, B = 2 π - 0.84106 \dots + 2 πn

sin (t) = \frac{1}{2}, 0 \leq t < \frac{π}{2}

tan (θ) = 1.4

sin (θ) = - 0.8062

25 cot^{2} (x) - 1 = 0

\frac{3}{2} = - \frac{1}{2} \cdot sin (θ)