cos(x)= 84/98

Lösung

cos (x) = \frac{84}{98}

x = 0.54109 \dots + 2 πn, x = 2 π - 0.54109 \dots + 2 πn

Grad

x = 31.00271 \dots^{\circ} + 36 0^{\circ} n, x = 328.99728 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{84}{98}

Streiche die gemeinsamen Faktoren:

14

cos (x) = \frac{6}{7}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{6}{7}

Allgemeine Lösung für

cos (x) = \frac{6}{7}

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

x = arccos (\frac{6}{7}) + 2 πn, x = 2 π - arccos (\frac{6}{7}) + 2 πn

x = arccos (\frac{6}{7}) + 2 πn, x = 2 π - arccos (\frac{6}{7}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.54109 \dots + 2 πn, x = 2 π - 0.54109 \dots + 2 πn