cos(θ)= 3/5

Lösung

cos (θ) = \frac{3}{5}

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{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

sin (x) = - 2

sin (\frac{x}{2}) + cos (x) - 1 = 0

3 sin (x) sec (x) = 2 sin (x)

so l v e f or y, x = sin (y)

2 sin (\frac{x}{2}) + 3 = 0