cos(θ)= 6/7

Lösung

cos (θ) = \frac{6}{7}

θ = 0.54109 \dots + 2 πn, θ = 2 π - 0.54109 \dots + 2 πn

Grad

θ = 31.00271 \dots^{\circ} + 36 0^{\circ} n, θ = 328.99728 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{6}{7}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{6}{7}

Allgemeine Lösung für

cos (θ) = \frac{6}{7}

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

θ = arccos (\frac{6}{7}) + 2 πn, θ = 2 π - arccos (\frac{6}{7}) + 2 πn

θ = arccos (\frac{6}{7}) + 2 πn, θ = 2 π - arccos (\frac{6}{7}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.54109 \dots + 2 πn, θ = 2 π - 0.54109 \dots + 2 πn

2 cos (2 θ) + 7 sin (θ) = 5

cos (x) = \frac{5}{10}

sin (\frac{8 π}{23}) = sin (x)

- 2 sin (x) - 4 cos (2 x) = 0

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