cos(θ)=(2sqrt(5))/(19)

Lösung

cos (θ) = \frac{2 5}{19}

θ = 1.33319 \dots + 2 πn, θ = 2 π - 1.33319 \dots + 2 πn

Grad

θ = 76.38623 \dots^{\circ} + 36 0^{\circ} n, θ = 283.61376 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{2 5}{19}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{2 5}{19}

Allgemeine Lösung für

cos (θ) = \frac{2 5}{19}

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

θ = arccos (\frac{2 5}{19}) + 2 πn, θ = 2 π - arccos (\frac{2 5}{19}) + 2 πn

θ = arccos (\frac{2 5}{19}) + 2 πn, θ = 2 π - arccos (\frac{2 5}{19}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.33319 \dots + 2 πn, θ = 2 π - 1.33319 \dots + 2 πn

3 csc (θ) + csc (θ) cot (θ) = 0

tan (x) (cot (x) + 1) = 0

3 cos (x) - sin (x) = 0

cos (2 x) (cos (2 x) - 3) = 0

csc^{2} (x) = 9