cos(x)= 6/25

Lösung

cos (x) = \frac{6}{25}

x = 1.32843 \dots + 2 πn, x = 2 π - 1.32843 \dots + 2 πn

Grad

x = 76.11345 \dots^{\circ} + 36 0^{\circ} n, x = 283.88654 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{6}{25}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{6}{25}

Allgemeine Lösung für

cos (x) = \frac{6}{25}

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

x = arccos (\frac{6}{25}) + 2 πn, x = 2 π - arccos (\frac{6}{25}) + 2 πn

x = arccos (\frac{6}{25}) + 2 πn, x = 2 π - arccos (\frac{6}{25}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.32843 \dots + 2 πn, x = 2 π - 1.32843 \dots + 2 πn

3 sin (φ) - cos (2 φ) = 1

cos (4 x) = 2 cos (2 x) - 1

cot^{2} (θ) + cot (θ) = 0

3 cos^{2} (θ) - cos (θ) - 4 = 0

tan (4 x) = tan (2 x)