cos(θ)=((5))/((13))

Lösung

cos (θ) = \frac{( 5 )}{( 13 )}

θ = 1.17600 \dots + 2 πn, θ = 2 π - 1.17600 \dots + 2 πn

Grad

θ = 67.38013 \dots^{\circ} + 36 0^{\circ} n, θ = 292.61986 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{( 5 )}{( 13 )}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{5}{13}

Allgemeine Lösung für

cos (θ) = \frac{5}{13}

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

θ = arccos (\frac{5}{13}) + 2 πn, θ = 2 π - arccos (\frac{5}{13}) + 2 πn

θ = arccos (\frac{5}{13}) + 2 πn, θ = 2 π - arccos (\frac{5}{13}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.17600 \dots + 2 πn, θ = 2 π - 1.17600 \dots + 2 πn

2 sin (θ) + 3 = - csc (θ)

2 sin (\frac{2 x}{3}) - 2 = 0

tan (θ) = - \frac{1}{4}

3 - sin (θ) = cos (2 θ)

tan (θ) = \frac{- 1}{1}