cos(θ)= 33/55

Lösung

cos (θ) = \frac{33}{55}

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

Grad

θ = 53.13010 \dots^{\circ} + 36 0^{\circ} n, θ = 306.86989 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{33}{55}

Streiche die gemeinsamen Faktoren:

11

cos (θ) = \frac{3}{5}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{3}{5}

Allgemeine Lösung für

cos (θ) = \frac{3}{5}

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

θ = arccos (\frac{3}{5}) + 2 πn, θ = 2 π - arccos (\frac{3}{5}) + 2 πn

θ = arccos (\frac{3}{5}) + 2 πn, θ = 2 π - arccos (\frac{3}{5}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.92729 \dots + 2 πn, θ = 2 π - 0.92729 \dots + 2 πn

cos (4 x) cos (x) - sin (4 x) sin (x) = \frac{1}{2}

tan (θ) = \frac{7}{3}

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

tan (θ) = - \frac{7}{4}

sec (y) = (\frac{5}{4})