cos(θ)= 60/61

Lösung

cos (θ) = \frac{60}{61}

θ = 0.18131 \dots + 2 πn, θ = 2 π - 0.18131 \dots + 2 πn

Grad

θ = 10.38885 \dots^{\circ} + 36 0^{\circ} n, θ = 349.61114 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{60}{61}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{60}{61}

Allgemeine Lösung für

cos (θ) = \frac{60}{61}

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

θ = arccos (\frac{60}{61}) + 2 πn, θ = 2 π - arccos (\frac{60}{61}) + 2 πn

θ = arccos (\frac{60}{61}) + 2 πn, θ = 2 π - arccos (\frac{60}{61}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.18131 \dots + 2 πn, θ = 2 π - 0.18131 \dots + 2 πn

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

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

- 2 sin^{2} (x) - cos (x) = - 1, 0^{\circ} \leq x < 36 0^{\circ}

cos^{2} (θ) - 3 cos (θ) + 2 = sin^{2} (θ)

sin (x) - cos^{2} (x) - 1 = 0