cos(θ)=(sqrt(5))/8

Lösung

cos (θ) = \frac{5}{8}

θ = 1.28751 \dots + 2 πn, θ = 2 π - 1.28751 \dots + 2 πn

Grad

θ = 73.76912 \dots^{\circ} + 36 0^{\circ} n, θ = 286.23087 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{5}{8}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{5}{8}

Allgemeine Lösung für

cos (θ) = \frac{5}{8}

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

θ = arccos (\frac{5}{8}) + 2 πn, θ = 2 π - arccos (\frac{5}{8}) + 2 πn

θ = arccos (\frac{5}{8}) + 2 πn, θ = 2 π - arccos (\frac{5}{8}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.28751 \dots + 2 πn, θ = 2 π - 1.28751 \dots + 2 πn

cos (\frac{π}{2} + x) - cos (\frac{π}{2} - x) = - 3

tan (x) = 2.142

3 cos (θ) = - 2

sin (x) = \frac{20}{38.59}

sec (A) = 5.29411