cos(θ)= 60/78

Lösung

cos (θ) = \frac{60}{78}

θ = 0.69315 \dots + 2 πn, θ = 2 π - 0.69315 \dots + 2 πn

Grad

θ = 39.71513 \dots^{\circ} + 36 0^{\circ} n, θ = 320.28486 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{60}{78}

Streiche die gemeinsamen Faktoren:

6

cos (θ) = \frac{10}{13}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{10}{13}

Allgemeine Lösung für

cos (θ) = \frac{10}{13}

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

θ = arccos (\frac{10}{13}) + 2 πn, θ = 2 π - arccos (\frac{10}{13}) + 2 πn

θ = arccos (\frac{10}{13}) + 2 πn, θ = 2 π - arccos (\frac{10}{13}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.69315 \dots + 2 πn, θ = 2 π - 0.69315 \dots + 2 πn

18 sin^{2} (x) = 9

so l v e f or x, sin (x) = cos (y)

2 - 2 sin^{2} (\frac{x}{2}) = 2 cos^{2} (x)

2 cos (x) + 2 sin (x) = 6

6 tan (θ) + 1 = 0