sin(θ)= 56/65

Lösung

sin (θ) = \frac{56}{65}

θ = 1.03829 \dots + 2 πn, θ = π - 1.03829 \dots + 2 πn

Grad

θ = 59.48976 \dots^{\circ} + 36 0^{\circ} n, θ = 120.51023 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{56}{65}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{56}{65}

Allgemeine Lösung für

sin (θ) = \frac{56}{65}

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

θ = arcsin (\frac{56}{65}) + 2 πn, θ = π - arcsin (\frac{56}{65}) + 2 πn

θ = arcsin (\frac{56}{65}) + 2 πn, θ = π - arcsin (\frac{56}{65}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 1.03829 \dots + 2 πn, θ = π - 1.03829 \dots + 2 πn

900 = 400 sin (\frac{2 π t}{365} + \frac{7 π}{8}) + 500

2 sin^{2} (x) + 2 sin (x) = 0

2 sin^{2} (x) = sin (x) + 1, 0 \leq x \leq 2 π

15 tan (θ) - 7 = 5 tan (θ) - 3

sin^{2} (x) - 9 cos (x) + 9 = 0, 0 \leq x \leq 2 π