cos(θ)= 8/9

Lösung

cos (θ) = \frac{8}{9}

θ = 0.47588 \dots + 2 πn, θ = 2 π - 0.47588 \dots + 2 πn

Grad

θ = 27.26604 \dots^{\circ} + 36 0^{\circ} n, θ = 332.73395 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{8}{9}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{8}{9}

Allgemeine Lösung für

cos (θ) = \frac{8}{9}

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

θ = arccos (\frac{8}{9}) + 2 πn, θ = 2 π - arccos (\frac{8}{9}) + 2 πn

θ = arccos (\frac{8}{9}) + 2 πn, θ = 2 π - arccos (\frac{8}{9}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.47588 \dots + 2 πn, θ = 2 π - 0.47588 \dots + 2 πn

2 sin (x) - cos (x) = 0, 0^{\circ} \leq x \leq 36 0^{\circ}

8 tan (A) + 3 = 2 tan (A) + 3

cosh (x) = 3

2 sec (x) + 1 = 0

cot (x) = - 3