cos(θ)= 6/8

Lösung

cos (θ) = \frac{6}{8}

θ = 0.72273 \dots + 2 πn, θ = 2 π - 0.72273 \dots + 2 πn

Grad

θ = 41.40962 \dots^{\circ} + 36 0^{\circ} n, θ = 318.59037 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

cos (θ) = \frac{6}{8}

Streiche die gemeinsamen Faktoren:

2

cos (θ) = \frac{3}{4}

Wende die Eigenschaften der Trigonometrie an

cos (θ) = \frac{3}{4}

Allgemeine Lösung für

cos (θ) = \frac{3}{4}

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

θ = arccos (\frac{3}{4}) + 2 πn, θ = 2 π - arccos (\frac{3}{4}) + 2 πn

θ = arccos (\frac{3}{4}) + 2 πn, θ = 2 π - arccos (\frac{3}{4}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.72273 \dots + 2 πn, θ = 2 π - 0.72273 \dots + 2 πn

so l v e f or x, 4 cos (x) \cdot sin (y) = 1

arctan (\frac{1}{4} x) - π - arctan (\frac{x}{100}) = - π

\frac{cot ( x ) + \frac{1}{c o t ( x )}}{cos ( x )} = sec (x)

sec (θ) = 2, (tan (θ) - sin (θ))^{2} + (1 - cos (θ))^{2}

(1 + csc (A)) (1 - csc (A)) = - cot (A)