sin(θ)= 6/13

Lösung

sin (θ) = \frac{6}{13}

θ = 0.47972 \dots + 2 πn, θ = π - 0.47972 \dots + 2 πn

Grad

θ = 27.48642 \dots^{\circ} + 36 0^{\circ} n, θ = 152.51357 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{6}{13}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{6}{13}

Allgemeine Lösung für

sin (θ) = \frac{6}{13}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{6}{13}) + 2 πn, θ = π - arcsin (\frac{6}{13}) + 2 πn

θ = arcsin (\frac{6}{13}) + 2 πn, θ = π - arcsin (\frac{6}{13}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.47972 \dots + 2 πn, θ = π - 0.47972 \dots + 2 πn

2 sin (3 0^{\circ} + x) = 3 cos (x)

- 33 cot (θ) + 5 = 14

so l v e f or y, d = arctan (\frac{10}{\frac{y}{67} \cdot 1000})

2 arccos (x) = π

- 2 cos (θ) + 1 = 5 cos (θ) + 0