cos(x)= 7/12

Lösung

cos (x) = \frac{7}{12}

x = 0.94796 \dots + 2 πn, x = 2 π - 0.94796 \dots + 2 πn

Grad

x = 54.31466 \dots^{\circ} + 36 0^{\circ} n, x = 305.68533 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{7}{12}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{7}{12}

Allgemeine Lösung für

cos (x) = \frac{7}{12}

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

x = arccos (\frac{7}{12}) + 2 πn, x = 2 π - arccos (\frac{7}{12}) + 2 πn

x = arccos (\frac{7}{12}) + 2 πn, x = 2 π - arccos (\frac{7}{12}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.94796 \dots + 2 πn, x = 2 π - 0.94796 \dots + 2 πn

4 tan (x) + 2 sin (x) cos (x) = 0

3 sin (x) + 6 cos (x) = 4

3 tan (2 x + 1) = 2

tan (2 x) - 2 = 3 tan (x)

sin (x - \frac{π}{6}) = 0