cos(θ)= 6/16

Lösung

cos (θ) = \frac{6}{16}

θ = 1.18639 \dots + 2 πn, θ = 2 π - 1.18639 \dots + 2 πn

Grad

θ = 67.97568 \dots^{\circ} + 36 0^{\circ} n, θ = 292.02431 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{6}{16}

Streiche die gemeinsamen Faktoren:

2

cos (θ) = \frac{3}{8}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{3}{8}

Allgemeine Lösung für

cos (θ) = \frac{3}{8}

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

θ = arccos (\frac{3}{8}) + 2 πn, θ = 2 π - arccos (\frac{3}{8}) + 2 πn

θ = arccos (\frac{3}{8}) + 2 πn, θ = 2 π - arccos (\frac{3}{8}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.18639 \dots + 2 πn, θ = 2 π - 1.18639 \dots + 2 πn

∣ cos (x) ∣ = - 1

\frac{sin ( 2 5 ^{\circ} )}{5.41} = \frac{sin ( x )}{9}

cos (θ) = \frac{4}{17}

- csc^{2} (x) + 2 csc (x) cot (x) = 0

6 sin (A) + 3 = 4 sin (A) + 4