cos(θ)=(198.36)/(229.4)

Lösung

cos (θ) = \frac{198.36}{229.4}

θ = 0.52626 \dots + 2 πn, θ = 2 π - 0.52626 \dots + 2 πn

Grad

θ = 30.15261 \dots^{\circ} + 36 0^{\circ} n, θ = 329.84738 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{198.36}{229.4}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{198.36}{229.4}

Allgemeine Lösung für

cos (θ) = \frac{198.36}{229.4}

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

θ = arccos (\frac{198.36}{229.4}) + 2 πn, θ = 2 π - arccos (\frac{198.36}{229.4}) + 2 πn

θ = arccos (\frac{198.36}{229.4}) + 2 πn, θ = 2 π - arccos (\frac{198.36}{229.4}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.52626 \dots + 2 πn, θ = 2 π - 0.52626 \dots + 2 πn

(cos (x) - 1) (tan (x) - 1) = 0

- cos (2 x + 3) = 0

tan (2 x) = \frac{- 270 - 120}{130}

sin (2 x) = \frac{π}{6}

sin (x) = \frac{8}{17} sin (2 x)