sin(θ)=(sqrt(5))/5

Lösung

sin (θ) = \frac{5}{5}

θ = 0.46364 \dots + 2 πn, θ = π - 0.46364 \dots + 2 πn

Grad

θ = 26.56505 \dots^{\circ} + 36 0^{\circ} n, θ = 153.43494 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (θ) = \frac{5}{5}

Wende die Eigenschaften der Trigonometrie an

sin (θ) = \frac{5}{5}

Allgemeine Lösung für

sin (θ) = \frac{5}{5}

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

θ = arcsin (\frac{5}{5}) + 2 πn, θ = π - arcsin (\frac{5}{5}) + 2 πn

θ = arcsin (\frac{5}{5}) + 2 πn, θ = π - arcsin (\frac{5}{5}) + 2 πn

Zeige Lösungen in Dezimalform

θ = 0.46364 \dots + 2 πn, θ = π - 0.46364 \dots + 2 πn

tan (θ) = \frac{12}{19}

sec (θ) = - 1.5

cos (x) = \frac{1}{2} 3

sin (2 x - 1 0^{\circ}) = cos (x + 4 0^{\circ})

2 sec^{2} (x) - 8 = 0