(sin(θ))/(1.3)=(sin(125))/(2.8519)

Soluzione

\frac{sin ( θ )}{1.3} = \frac{sin ( 12 5 ^{\circ} )}{2.8519}

θ = 0.38267 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.38267 \dots + 36 0^{\circ} n

Radianti

θ = 0.38267 \dots + 2 πn, θ = π - 0.38267 \dots + 2 πn

Fasi della soluzione

\frac{sin ( θ )}{1.3} = \frac{sin ( 12 5 ^{\circ} )}{2.8519}

Moltiplica entrambi i lati per

1.3

\frac{sin ( θ )}{1.3} = \frac{sin ( 12 5 ^{\circ} )}{2.8519}

Moltiplica entrambi i lati per

1.3

\frac{1.3 sin ( θ )}{1.3} = \frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}

Semplificare

sin (θ) = \frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}

sin (θ) = \frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}

Applica le proprietà inverse delle funzioni trigonometriche

sin (θ) = \frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}

Soluzioni generali per

sin (θ) = \frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

θ = arcsin (\frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}) + 36 0^{\circ} n

θ = arcsin (\frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{1.3 sin ( 12 5 ^{\circ} )}{2.8519}) + 36 0^{\circ} n

Mostra le soluzioni in forma decimale

θ = 0.38267 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.38267 \dots + 36 0^{\circ} n

cot^{2} (θ) = \frac{1}{3}

x, y^{3} - sin^{2} (x) = 1

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

sec (θ) - 2 cos (θ) = 0

sin (θ) = \frac{1}{2}, 0 \leq θ \leq 4 π