cos(a)= 1/3

Lösung

cos (a) = \frac{1}{3}

a = 1.23095 \dots + 2 πn, a = 2 π - 1.23095 \dots + 2 πn

Grad

a = 70.52877 \dots^{\circ} + 36 0^{\circ} n, a = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (a) = \frac{1}{3}

Wende die Eigenschaften der Trigonometrie an

cos (a) = \frac{1}{3}

Allgemeine Lösung für

cos (a) = \frac{1}{3}

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

a = arccos (\frac{1}{3}) + 2 πn, a = 2 π - arccos (\frac{1}{3}) + 2 πn

a = arccos (\frac{1}{3}) + 2 πn, a = 2 π - arccos (\frac{1}{3}) + 2 πn

Zeige Lösungen in Dezimalform

a = 1.23095 \dots + 2 πn, a = 2 π - 1.23095 \dots + 2 πn

2 cos (2 θ) = 3

2 sin^{2} (θ) - 5 sin (θ) + 2 = 0

tan (2 x) + 1 = 0

sin (x) - 2 = - sin (x)

8 sec (x) csc (x) = 16 csc (x)