cos(x)=(8.5)/(9.9)

Lösung

cos (x) = \frac{8.5}{9.9}

x = 0.53829 \dots + 2 πn, x = 2 π - 0.53829 \dots + 2 πn

Grad

x = 30.84182 \dots^{\circ} + 36 0^{\circ} n, x = 329.15817 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (x) = \frac{8.5}{9.9}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{8.5}{9.9}

Allgemeine Lösung für

cos (x) = \frac{8.5}{9.9}

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

x = arccos (\frac{8.5}{9.9}) + 2 πn, x = 2 π - arccos (\frac{8.5}{9.9}) + 2 πn

x = arccos (\frac{8.5}{9.9}) + 2 πn, x = 2 π - arccos (\frac{8.5}{9.9}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.53829 \dots + 2 πn, x = 2 π - 0.53829 \dots + 2 πn

cos^{3} (x) = - cos^{2} (x)

3 sec (2 x) + 2 = 0

e^{t a n (x)} - 2 = 0

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

so l v e f or x, 2 sin (x) + csc (x) = 0