sin(α)= 8/17

Lösung

sin (α) = \frac{8}{17}

α = 0.48995 \dots + 2 πn, α = π - 0.48995 \dots + 2 πn

Grad

α = 28.07248 \dots^{\circ} + 36 0^{\circ} n, α = 151.92751 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (α) = \frac{8}{17}

Wende die Eigenschaften der Trigonometrie an

sin (α) = \frac{8}{17}

Allgemeine Lösung für

sin (α) = \frac{8}{17}

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

α = arcsin (\frac{8}{17}) + 2 πn, α = π - arcsin (\frac{8}{17}) + 2 πn

α = arcsin (\frac{8}{17}) + 2 πn, α = π - arcsin (\frac{8}{17}) + 2 πn

Zeige Lösungen in Dezimalform

α = 0.48995 \dots + 2 πn, α = π - 0.48995 \dots + 2 πn

2 cosh^{2} (x) - 3 sinh (x) = 1

so l v e f or x, y = \frac{4}{π} arccos (\frac{x}{4})

tan (θ) = \frac{2}{1.5}

tan (x) + 3 = 0, 0 \leq x \leq 2 π

2 cos^{2} (x) - cos (x) = 0, 0 \leq x \leq 2 π