cos(θ)= 5/6

Lösung

cos (θ) = \frac{5}{6}

θ = 0.58568 \dots + 2 πn, θ = 2 π - 0.58568 \dots + 2 πn

Grad

θ = 33.55730 \dots^{\circ} + 36 0^{\circ} n, θ = 326.44269 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{5}{6}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{5}{6}

Allgemeine Lösung für

cos (θ) = \frac{5}{6}

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

θ = arccos (\frac{5}{6}) + 2 πn, θ = 2 π - arccos (\frac{5}{6}) + 2 πn

θ = arccos (\frac{5}{6}) + 2 πn, θ = 2 π - arccos (\frac{5}{6}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.58568 \dots + 2 πn, θ = 2 π - 0.58568 \dots + 2 πn

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

cos (x) = 1, 0 \leq x \leq 2 π

so l v e f or x, cot (- x) cos (- x) + sin (- x) = \frac{- 1}{f}

tan^{2} (x) sin (x) = 3 sin (x)

cos (θ) - sin (2 θ) = 0