cos(θ)= 1/(sqrt(58))

Lösung

cos (θ) = \frac{1}{58}

θ = 1.43910 \dots + 2 πn, θ = 2 π - 1.43910 \dots + 2 πn

Radianten

θ = 1.43910 \dots + 6.28318 \dots n, θ = 4.84407 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (θ) = \frac{1}{58}

Vereinfache

\frac{1}{58} : \frac{58}{58}

\frac{1}{58}

Multipliziere mit dem Konjugat

\frac{58}{58}

= \frac{1 \cdot 58}{58 58}

1 \cdot 58 = 58

5858 = 58

5858

Wende Radikal Regel an:

a a = a

5858 = 58

= 58

= \frac{58}{58}

cos (θ) = \frac{58}{58}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{58}{58}

Allgemeine Lösung für

cos (θ) = \frac{58}{58}

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

θ = arccos (\frac{58}{58}) + 2 πn, θ = 2 π - arccos (\frac{58}{58}) + 2 πn

θ = arccos (\frac{58}{58}) + 2 πn, θ = 2 π - arccos (\frac{58}{58}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.43910 \dots + 2 πn, θ = 2 π - 1.43910 \dots + 2 πn

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