cos(x)=0.7

Lösung

cos (x) = 0.7

x = 0.79539 \dots + 2 πn, x = 2 π - 0.79539 \dots + 2 πn

Grad

x = 45.57299 \dots^{\circ} + 36 0^{\circ} n, x = 314.42700 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = 0.7

Wende die Eigenschaften der Trigonometrie an

cos (x) = 0.7

Allgemeine Lösung für

cos (x) = 0.7

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

x = arccos (0.7) + 2 πn, x = 2 π - arccos (0.7) + 2 πn

x = arccos (0.7) + 2 πn, x = 2 π - arccos (0.7) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.79539 \dots + 2 πn, x = 2 π - 0.79539 \dots + 2 πn

2 - 2 cos^{2} (x) = sin (x) + 1

sin (x) = - \frac{1}{4}

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

sin (x) - cos (x) = 2

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