cos(θ)=(5/(sqrt(29)))

Lösung

cos (θ) = (\frac{5}{29})

θ = 0.38050 \dots + 2 πn, θ = 2 π - 0.38050 \dots + 2 πn

Radianten

θ = 0.38050 \dots + 6.28318 \dots n, θ = 5.90267 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (θ) = (\frac{5}{29})

Vereinfache

\frac{5}{29} : \frac{5 29}{29}

\frac{5}{29}

Multipliziere mit dem Konjugat

\frac{29}{29}

= \frac{5 29}{29 29}

2929 = 29

2929

Wende Radikal Regel an:

a a = a

2929 = 29

= 29

= \frac{5 29}{29}

cos (θ) = \frac{5 29}{29}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{5 29}{29}

Allgemeine Lösung für

cos (θ) = \frac{5 29}{29}

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

θ = arccos (\frac{5 29}{29}) + 2 πn, θ = 2 π - arccos (\frac{5 29}{29}) + 2 πn

θ = arccos (\frac{5 29}{29}) + 2 πn, θ = 2 π - arccos (\frac{5 29}{29}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.38050 \dots + 2 πn, θ = 2 π - 0.38050 \dots + 2 πn