cos(θ)= 22/65

Lösung

cos (θ) = \frac{22}{65}

θ = 1.22551 \dots + 2 πn, θ = 2 π - 1.22551 \dots + 2 πn

Grad

θ = 70.21682 \dots^{\circ} + 36 0^{\circ} n, θ = 289.78317 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{22}{65}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{22}{65}

Allgemeine Lösung für

cos (θ) = \frac{22}{65}

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

θ = arccos (\frac{22}{65}) + 2 πn, θ = 2 π - arccos (\frac{22}{65}) + 2 πn

θ = arccos (\frac{22}{65}) + 2 πn, θ = 2 π - arccos (\frac{22}{65}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.22551 \dots + 2 πn, θ = 2 π - 1.22551 \dots + 2 πn

2 cos^{2} (θ) - 5 cos (θ) + 1 = 0

8 sin (θ) cos (θ) = 3

tan (x) = \frac{7}{9}

cos (8 x) = - 1

- 3 cos^{2} (x) + 2 cos (x) + 1 = 0