cos(x)=(sqrt(14))/(14)

Lösung

cos (x) = \frac{14}{14}

x = 1.30024 \dots + 2 πn, x = 2 π - 1.30024 \dots + 2 πn

Grad

x = 74.49864 \dots^{\circ} + 36 0^{\circ} n, x = 285.50135 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{14}{14}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{14}{14}

Allgemeine Lösung für

cos (x) = \frac{14}{14}

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

x = arccos (\frac{14}{14}) + 2 πn, x = 2 π - arccos (\frac{14}{14}) + 2 πn

x = arccos (\frac{14}{14}) + 2 πn, x = 2 π - arccos (\frac{14}{14}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.30024 \dots + 2 πn, x = 2 π - 1.30024 \dots + 2 πn

so l v e f or x, 5 = 4 cos (3 x) + 9

sin^{2} (x) cos (x) + sin (x) = 0

so l v e f or x, 8 sec (x) + 8 tan (x) = 8

3 sin (2 x) = 5 cos^{2} (2 x)

so l v e f or x, y^{n} + 25 y = cos (5 x)